Describe how to transform the graph of f(x) = x* to obtain
the graph of the related function g(x) = f(-4(x - 3)) + 1.
Then draw the graph of g(x).

Describe How To Transform The Graph Of F(x) = X* To Obtainthe Graph Of The Related Function G(x) = F(-4(x

Answers

Answer 1

Answer:

Step-by-step explanation:

Parent function is, f(x) = x²

For x = -4(x - 3),

f[-4(x - 3)] = [-4(x - 3)]²

               = 16(x - 3)²

               = 16(x - 3)²

g(x) = 16(x - 3)² is the transformed form of the graph f(x).

Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.

Followed by a translation of the function by 3 units right.

Table of input and output values of g(x),

x         0        1          2          3           4          5

y      -48     -32       -16         0          16        32

Now plot these points on a graph and join them.


Related Questions

f (x) = (x - 6)^2(x + 2)^2

Determine the total number of roots of each polynomial function using the factored form

Answers

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

(x - 6)^2 (x + 2)^2 = 0

Split into two equations:

(x - 6)^2 = 0 or (x + 2)^2 = 0

Take the square root of both sides:

x - 6 = 0 or (x + 2)^2 = 0

Add 6 to both sides:

x = 6 or (x + 2)^2 = 0

Take the square root of both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

It is 4 on Edgenuity

Step-by-step explanation:

I took the test

Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)?

Answers

Answer:

P(X and Y) =0.2, P(X or Y)=0.7

Step-by-step explanation:

P(X or Y)

P(X∪Y) = P(X)+P(Y) - P(X∩Y)

=  0.5 + 0.4 - 0.2

=  0.7

or 1-P(Y|X)=1-0.3=0.7

P(X and Y)

P(X∩Y) = P(X) × P(Y)

=  0.5 × 0.4

=  0.2

I hope it helps

Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?

Answers

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

What is the slope of the line represented by the equation y=-1/2x + 1/4?

Answers

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)

Answers

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

0,-2 is the radical function

Please Help Me ASAP!!! Factor completely. x^2 + 5x + 6 Enter your answer in the box.

Answers

Answer:

Answer is (x+3)(x+2)

3 time 2 equal 6

While 3 plus 2 equal 5

plz mark brainliest if this helps!

a group of 12 friends want to see a movie, only 7 seats are available for the current show, they draw straws to determine who will watch the movie and who will go to a later show. how many different groups are possible for the current showing of the movie? a 426 b 95,040 c 792 d 33, 264

Answers

The answer is 792 ways

12choose7=792

The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y?

Answers

Answer:

35.5

Step-by-step explanation:

got it right on edumentum

Which inequality is true?
A. 6 – 7 > 3
B. 12 > 4
C. 87 > 24
D. 3.14 + 3 < 6

Answers

Answer:

A

Step-by-step explanation:

Answer:

the awnser is a

Step-by-step explanation:

2x . (x² - 5x + 6) - 3x . (x² + 2x -1)

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

Here you go mate!

Step-by-step explanation:

Solve for x in the diagram below.

Answers

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°

4x - 20 = 2x + 4 please expand​

Answers

Answer:

The value of x in this equation is 12.

Step-by-step explanation:

4x - 20 = 2x + 4

Subtract 2x from 4x because they are like terms. Both terms have a variable of x attached to them.

2x - 20 = 4

Add 20 to 4 because they are also like terms.

2x = 24

Divide 2 on both sides of the equation so we can get x by itself and see what x is equals to.

x = 12

So, the value of x in this equation is 12.

Answer:

x = 12

Step-by-step explanation:

4x - 20 = 2x + 4

4x - 2x = 4 + 20

2x = 24

x = 24/2

x = 12

Lines l and m are parallel. Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed by s, t, and l are blank, 85 degrees, (2 x) degrees, (x minus 10) degrees, 1, blank; formed by s and m are blank, 2, blank, blank; formed by t and m are 3, blank, blank, blank. What is the measure of angle 3? 25 degrees 35 degrees 70 degrees 85 degrees

Answers

Answer:

25 degrees

Step-by-step explanation:

In the picture attached, the lines and the angles are shown. There we can see that:

85° + 2x° + (x-10)° = 180°

75 + 3x = 180

x = (180 - 75)/3

x = 35°

∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:

∠3 = x - 10

∠3 = 35 - 10

∠3 = 25°

Answer:

a

Step-by-step explanation:

edge 2020

1. How much ribbon is required to wrap once around a basketball present? Basketballs are 78 cm in
diameter
2 Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The
second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two
cars? Be sure to draw a diagram illustrating this situation
3 Asmall tree is beginning to lean The owner decides to set up a tension wire to straighten the tree's
growth The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high
How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches
the tension wire to the top of the tree)?​

Answers

Answer:

1) 244.92cm  2) 188.68 km  3) 3m

Step-by-step explanation:

1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.

2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.

3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:

4^2+b^2=5^2

16+b^2= 25

b^2=9

b=3

hope this helped it took a long time to explain it all! :)

M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.

Answers

Answer:

 OR = √65

Step-by-step explanation:

M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...

  ON = QN/3 = 12/3 = 4

By the Pythagorean theorem, ...

  OR² = NR² +ON²

  OR² = 7² +4² = 65

  OR = √65

Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three bikes: $ Four bikes: $ Five bikes: $ Six bikes: $ Seven bikes: $

Answers

Answer:

Step-by-step explanation

You solve with math

PLZZZZZZZZ HELP WILLL MARK BRAILIEST

Answers

Answer: 9 cm.

Step-by-step explanation:

You are given that increase in snow level are recorded with positive numbers while it is recorded with negative number when it is decreasing.

The initial depth of the snow is 10 cm

The rate = 1/3 cm/h

Time t = 3 hours

Using the formula

Rate = depth / time

Substitute the rate and the time into the formula

1/3 = depth/3

Cross multiply

Depth = 3 × 1/3

Depth = 1 cm

The depth of the snow on Cherry street after 3 hours will be

10cm - 1 cm = 9 cm.

Solving absolute value inequalities requires solving compound inequalities.
O True
O False

Answers

I believe it is true.

The statement "Solving absolute value inequalities requires solving compound inequalities" is False.

Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:

Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].

To solve such an inequality, follow these steps:

Set up two separate inequalities: one with the expression inside the absolute value symbols greater than or equal to zero, and the other with the expression negated and greater than or equal to zero.Solve each inequality separately to find the possible solutions.Combine the solutions from both inequalities to determine the final solution set.

Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."

To solve a compound inequality, follow these steps:

Solve each individual inequality separately.Combine the solutions based on the logical operators:If the compound inequality is joined by "and," the solution is the intersection of the individual solutions.If the compound inequality is joined by "or," the solution is the union of the individual solutions.

Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.

Learn more about compound inequalities here:

https://brainly.com/question/27031048

#SPJ4

you have 20 coins in your pockey that are either quarters or dimes. they total 3.95 how nany quarters do you have​

Answers

12 quarters

hope i helped

What is the measure of the missing angle x?

Answers

Answer:

C. 60°

Step-by-step explanation:

Add the two given angles and subtract from 180°

Answer:

C.  60

Step-by-step explanation:

The total degrees in a triangle is 180.  Add up the given angles measures and subtract from 180 to find x.

52 + 68 + x = 180

120 + x = 180

x = 60

Which best describes the relationship between the lines with equations

Answers

Hey there! :)

Answer:

B, they are the same line.

Step-by-step explanation:

Begin by converting each equation to slope-intercept form to make it easier to see the relationship:

-3x - 4y = 1

-4y = 3x + 1

y = -3/4x - 1/4

-------------------

-6x - 8y = 2

-8y = 6x + 2

y = -3/4x - 1/4

The lines are the same. Therefore, B is the correct choice.

Hi the answer is b. Hope this helped:)

What is the solution to 4x+6 is less than or equal to 18?

Answers

Hey there! :)

Answer:

x ≤ 3

Step-by-step explanation:

Given:

4x + 6 ≤ 18

Subtract 6 from both sides:

4x ≤ 12

Divide both sides by 4:

4x/4 ≤ 12/4

x ≤ 3

Step-by-step explanation:

4x+6 <_ 18

-6 -6

4x <_ 12

Divide 4 both sides by 4

Therefore, x is less than or equal to 3

What is the area of this face?
100 in2
200 in2
150 in
400 in2

Answers

Answer: 200 in

Step-by-step explanation:

Try to split up the face into pieces. You can make the first piece the square on the top. Only, you don't know the value of the bottom side, but you can see that it is 10 (if you look at the top at the back). So, if you do your multiplication, 10 x 10 = 100. So, that is the area of the first square. The next square also has a width and height of 10, (10 on the bottom, and follow the side to the other 10). Do the multiplication again (same as above) and get 100. Now that you have the area of the two pieces, you add then together: 100+100=200

Please feel free to let me know if you have any questions!

Answer: The yellow face has an area of 200 in^2

Step-by-step explanation:

The height of each of the two square areas is 10 in. The width is 10. A=w × h

10 × 10 = 100. Times 2 for the total for the yellow face.

Don't be confused by the 5-inch offset.

Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During the first 70 days of school, Becca’s science class does a lab experiment 2/3 of the time. The class meets Monday through Friday. If you choose a class at random, what are the chances that Becca did a lab experiment on a Friday?

Answers

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

Comment on the question

IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

Answer:

D,

Method:              

Roll, pick, and replace a marble 70 times      

                       

Count number of times...

Roll Greater than 2 AND pick a yellow marble

Step-by-step explanation:

Well first of all, I wouldn't leech, and second of all, this is a game of trust.

lol

jk

I know this is correct due to probability calculations,

You know there is a 1/5 probability chance of getting a yellow marble, and there are 5 days that the school goes off of.

You also know that you can get 3, 4, 5, or 6 on the dice (as long as it is fair) and that would be 4/6 of a chance or 2/3.

The experiments are on 2/3 of the 70 days, and there are 5 school days per week.

Kinda of a no-brainer if you understand how this kinda works.

Hope this helps!

Hopefully this explains this question where you can understand!

find two rational numbers between [tex]\sqrt[3]{8}[/tex] and [tex]\sqrt{9}[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

Jill is 5 kilometers away from Joe. both begin to walk toward each other at the same time. Jill walks at 1 km/hr. they meet in 2 hours. how fast is Joe walking? show work plz

Answers

Answer:

1.5km/hr.

Step-by-step explanation:

jill is walking 1 km/hr. and meets in 2 hours. so jill crossed 2 km in 2 hours. so joe has to (5-2) or 3 km and he walked 3 km on 2 hours as the question. that means joe was walking 3/2 km/hr or 1.5 km/hour

To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?

Answers

Answer:

Range of weight = 176 - 146 pound

Step-by-step explanation:

Given:

Maximum weight = 175 pound

Minimum weight = 145 pound

Clothes weight = 1 pound

Find:

Range of weight

Computation:

Range = maximum weight - 1 pound

Range = minimum weight + 1 pound

Range = 175 - 1 pound

Range = 145 + 1 pound

Range = 174

Range = 146

Range of weight = 176 - 146 pound

Hey guys please help find the area

Answers

The answer is 18

Step by step Explanation:

Due to the fact that they provided to you that the triangle is 45-45-90 triangle you know that the legs other than the hypotenuse are x and that the hypotenuse is labeled as x root 2.

3 times root 2 equals 3 root 2

Square formula: l*w

3 root 2 times 3 root 2 equals 18 because when there is a perfect square in the radical we take it out and multiply it to the coefficient. For example if 121 is inside the radical we take out 11 because 11 * 11 = 121. In this case 2 * 2 = 4 so we take the 2 and multiply it to 9 and we get 18.

I WILL MAKE BRAINLY
Which description matches the graph of the inequality y<-1/2x+5? a shaded region above a dashed boundary line a shaded region below a dashed boundary line a shaded region below a solid boundary line a shaded region above a solid boundary line

Answers

Answer:

a shaded region below a dashed boundary line

Step-by-step explanation:

this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line

plug in (0,0) to see if we are shading above or below the line

0 < -1/2(0) + 5

0 < 5

this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)

There were 100 chocolates in a box. The box was passed from person to person in one row. The first person took one chocolate. Each person down the row took one more chocolate than the person before. The box was passed until it was empty. What is the largest number of people that could have removed chocolates from the box? How do you know?

Answers

Answer: 13 people (I think)

Step-by-step explanation:

I didn't use a set equation to solve the problem, but I added 1+2+3+4... (and so on) until I got a number that was over 100. When I got to 14, the number reached 105, meaning that 13 people were able to get the number of chocolates that they desired. The fourteenth person was short 5 chocolates.

Please feel free to ask me any further questions you have! Have a wonderful day!

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