Assume that equation 1, f(x) = x2 (the black parabola), is the parent quadratic function. Equation 2, g(x) = (x − c)2 (the blue parabola), and equation 3, h(x) = x2 + d (the red parabola), are transformations of the parent function for various values of c and d. What happens as you change the values of c and d?

Answers

Answer 1

Answer:

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Step-by-step explanation:

Answer 2

Answer:

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Step-by-step explanation:


Related Questions

Help pleasee , find the length of the missing side . The triangle is not drawn to scale

Answers

Answer:

$*

Step-by-step explanation:

$=4 *=8

48

Parker drove 8 miles in 15 minutes. If he drove at a constant rate, how far did he travel in one hour?

Answers

The answer is 32 miles
The Answer is
32 miles

Weird question but, whenever you divide by 1/4 or multiply by 4/1, will you always get the same answer.

(25 points if you answer this.)

Answers

Answer:

yep

Step-by-step explanation:

when you divide a fraction u can use the KCF method which is basically:

(keep) the first fraction the same

(change) the division sign in the middle to a multiplication sign

(flip) the second fraction

basically because you have to flip the 1/4 when you divide it, it'll be the same as a 4/1 anyways

What's the coefficient of -C.

Answers

Answer:

here we have -C

The Coefficient of -C is -1

i’m just gonna say something because i want points sorry

mrs.gretta is teaching a 5th grade class. She is standing 12 meters in front of ethan. isabella is sitting to ethans right. if isabella and mrs.gretta are 15 meter apart how far apart are ethan and isabella?

Answers

Answer:

Ethan and Isabella are 9 meters apart.

Step-by-step explanation:

1. We can solve this using the Pythagorean Theorem, a²+b²=c².

2. Mrs. Gretta is standing 12 meters in front of Ethan, so a=12.

3. Isabella is sitting to Ethan's right, but we don't know how far away, so b=x.

4. Mrs. Gretta is 15 meters from Isabella, so c=15.

5. Plugging these variables into the equation, we get 12²+x²=15² which equals 144+x²=225.

6. We can move 144 to the other side to get x²=81, then square the 81 to get x=9.

7. Therefore, the answer is 9. Ethan and Isabella are 9 meters apart.

What is 49/50 equivalent to as a decimal and as a percent

Answers

.98 and98% .................

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h

Answers

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km.Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake.She paddles across the lake for one hour longer than she paddled up the river.

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

me podrían decir cuanto es 21/43+8/17 plis​

Answers

Answer:

701/731

Step-by-step explanation:

Espero que ayude

puedes marcarme branliest??

Answer:

701

------- = 0.958960328

731

Step-by-step explanation:

21/43 + 8/17 es

21/43 + 8/17

21      8     701

---- + ----- = -----

43      17     731

solve the inequality -5(x-7)<15 algebraically for x.

Answers

x > 4
Hope this helps

Answer:

4

Step-by-step explanation:

1. Divide both sides by -5

2. add 7 to both sides

What is the length of AB

Answers

d

Step-by-step explanation:

because that is the answer

The correct answer is D

Please Answer
If each quadrilateral below is a rectangle, find the missing measures

Answers

To solve for YW and VX I would use the Pythagorean Theorem. Add 19^2 to 31^2. Your answer should come out to be 1322. Now, find the square root of 1322. Due to the fact that it is not a perfect square, I would round this number. I am not sure if you were given a decimal place to round to, so I will just give you the full number (36.35932) Also, both diagonals are congruent, so ZX would just be half of 36.35932. Again, round the where you are asked to round.

The measure of two side of a triangle are given. If p is the perimeter and p=18x+9y find the measure of the third side?

Answers

Answer:

2x + 2y

Step-by-step explanation:

10x + 5y - ( 3x + 4y + 5x - y )

10x + 5y - 3x - 4y - 5x + y)

2x + 2y

What is the slope of the line on the graph?

Answers

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched between the tops of the posts, how far apart are the posts?​

Answers

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = [tex]\sqrt{495}[/tex]

a = [tex]\sqrt{9}[/tex] · [tex]\sqrt{55}[/tex]  =  3[tex]\sqrt{55}[/tex], which is approx 22.25

Answer:

about 22.25 feet

Step-by-step explanation:

You can think of it like a triangle, which you can see at the bottom

Then, use the pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex].

you have a = 9 and c = 24, so

[tex]9^2 + b^2 = 24^2\\81 + b^2 = 576\\b^2 = 495\\b = \sqrt{495} = 3\sqrt{55} = about 22.25[/tex]

Robert has 6 pints of water to use on 5 plants.
If Robert gives each plant the same amount, how many pints of water will each plant get?
A. 5/6
B. 1
C. 1 1/5
D. 5

Answers

Answer

I think the answer is B)

Step-by-step explanation:

because I subtracted 6 and 5 because Robert has 6 pints of water and there's 5 plants

A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend?

Answers

Answer:

$61.23

Explanation:

$38.85 + $22.38 = $61.23

Answer:

maddy will spend $61.23

Step-by-step explanation:

add $22.38 to $38.85

The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops
Price (dollars)
3
6.50
7
12.50
11
18.50
What is the fee per stop?

Answers

I got $1.50

Hope I helped

The table shows the relationship between c, the number of calories burned and f, the number of stairs climbed. What is the equation that best represents the relationship between f and c shown in the table?

Answers

Answer:

c=5f

Step-by-step explanation:

the number of calories burned is five per each flight of stairs

The total cost of a compact disc, including a 6% sales tax, is $14.31.
What is the price before the tax?
$13.50
$13.45
$13.44
$15.17

Answers

It's 13.50 I'm pretty sure
$13.50 • 1.06 is $14.31

The cost of a compact disc before the sale tax is $13.45. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total cost of a compact disc, including a 6% sales tax, is $14.31.

The cost before the sale tax will be calculated as,

Cost = 14.31 x ( 1 - 0.06 )

Cost = 14.31 x 0.94

Cost = $13.45

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

pls help meh

6th grade math

Answers

Answer:

1,728%

Step-by-step explanation:

multiply baby

Actually jt is 75% divide 36 by 48

Select an equation of a parabola that has a vertex at (2,-1) and a zero at x=3 .
A. y=x² -4x+ 5
B. y=x² -4x + 3
C. y=x² + 4x -21
D. y=x² + 4x +3

Answers

The answer to this question is B. y=x^2-4x+3

the scale price is 120% . This is 75% of the original price. find the original price​

Answers

Answer:

160%

Step-by-step explanation:

120% = 75%

1.6%=1%

160%=100%

therfore 160% is the original

Someone was shopping at a store that advertised 50% off everything. She found a new CD player originally priced at $76. What was the sale price?

Answers

Answer:

38

Step-by-step explanation:

please help!!! A pair of parallel lines are reflected. Which of these could be the result? thankyou!! (will mark brainliest

Answers

The answer is C!!!!!!

Answer:

C

Step-by-step explanation:

parallel lines never cross

What is sin 45°?
45°
va
1
1
90°
45°

Answers

Answer:

Step-by-step explanation:

330

Simplify. -y -7x + 7y
The simplified expression is ___y - ____x.

Answers

Answer:

the simplified expression is: 6y-7x

Step-by-step explanation:

-y+7y= 6y

           -7x

           = 6y-7x

Simplify the polynomial by combining like terms. Make sure your anwser is in standard form: 4x + 7 - 8x (2) + 2x + 5x (2) - 11

Also, keep in mind that the numbers that are in parenthesis are the exponents. ​

Answers

Answer:

-3x² + 6x - 4

Step-by-step explanation:

Simplify:

4x + 7 - 8x² + 2x + 5x² - 11 =x²(-8 + 5) + x(4 + 2) + (7 - 11) =-3x² + 6x - 4

Answer:

[tex] \tt \huge \boxed{ \boxed{\color{silver} { - 3x}^{2} + 6x - 4}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:algebraalgebraic addition subtractionPEMDAStips and formulas:quadratic expression standard form:ax²+bx+corder of PEMDASparenthesesexponentmultiplication ordivisionadditionsubtractionleft to rightgiven:4x+7-8x²+2x+5x²-11to dosimplificationlet's do:

[tex]step - 1 : define[/tex]

[tex] \sf 4x + 7 - {8x}^{2} + 2x + {5x}^{2} - 11[/tex]

[tex]step - 2 : simplify[/tex]

[tex] \tt \: rewrite : \\ \sf {8x}^{2} + {5x}^{2} + 4x + 2x + 7 - 11[/tex][tex] \tt \:combine \: like \: terms: \\ \sf { - 3x}^{2} + 6x + 7 - 11[/tex][tex] \tt \: substrak : \\ \sf { - 3x}^{2} + 6x - 4[/tex]

therefore

we can see the expression is in standard form since a,b and c is -3,6 and -4

also let's justify it

substitute the value of a,b and c respectively

(-3)x²+(6)x+(-4)

-3x²+6x-4 (proven)

What number replaces C to complete the square of the equation below

Find the solution to problem seven using the complete square method

Answers

Answer:

c= 25, solutions: x = 3, x= -13

Step-by-step explanation:

(10/2) ^2 = 25

(x+5)^2 = 64

help i hate .math..........

Answers

6 divided by [tex]\frac{8}{9}[/tex] is the same as 6/1 multiplied by 9/8, which gives us 7 as the whole answer. therefore, I think number 1 and 4 are the correct selections

75 times 243

If your doing just for points I’ll report you

Answers

18,225 :) have a nice day!
18,225 I hope you have the most amazing day
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