Determine all the transformations that have happened to f(x) = (x + 4)2 + 2 compared to
f(x) = x2

Answers

Answer 1

Answer:

Folow the steps to learn what transformations were determined.

Step-by-step explanation:

First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.

X    Y

2    4

1     1

0    0

-1     1

-2    4

Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.

Vertical Shifts:

f(x) + c moves up,

f(x) - c moves down.

Horizontal Shifts:

f(x + c) moves left,

f(x - c) moves right.

The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).


Related Questions

Please need answer help help?!?!?

Answers

Answer:

5

Step-by-step explanation:

The square root of 25 is 5

Need help asap will give brainly

Answers

Answer:

d is the answer

Step-by-step explanation:

have a great day :D

Answer:

D is the answer

Step-by-step explanation:

180-(65+50)=

 65+50=115

 180-115=65

       

PLEASE I NEED HELP ON This Please

Answers

I think it’s 33 hope this helps

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

I can't figure this out, anyone know??!!!

Answers

Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

HI GUYS PLEASE HELP WILL MARK YOU BRAINLIEST IF YOU HELP!! Distribute & combine like terms

Answers

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that exact same dress on sale for $34.What is the percent decrease for the dress Johanna wants to buy? Explain in writing/typing how you would solve the problem.

Answers

Answer:

32%

Step-by-step explanation:

50-34=16

16/50=0.32

0.32 x 100= 32

angle relations

A) 73°

B) 149°

C) 163°

D) 31°

Answers

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

D 31 . I think. :).

what formula would you use to find the area of this figure?

Answers

Step-by-step explanation:

Find the area of a square or rectangle by multiplying the length times the width. This formula looks like l*w. If the length is 5 and the width is 2, the area is 10 square units. Calculate the area of a four-sided shape that is not a rectangle by multiplying the base (one of the sides) by the height.

I hope it's helpful!

Substitute t=3 and t=5 to determine if the two expressions are equivalent.

4(t+3) 4t+12


which statements are true? check all that apply.
A. the value of both expressions when t=5 is 32.
B. the two expressions are not equivalent.
C. the value of both expressions when t=3 is 15
D. the value of both expressions when t=5 is 23
E. the two expressions are equivalent
F. the value of both expressions when t=3 is 24​

Answers

Answer:

E

because both sides are equal when substituted by 3 & 5

Sin(45^degrees)=13/x

Answers

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Directions: (a) Identify the parent function and (b) describe the transformations.

Answers

Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7

A Sb BC
B ABS SCT
C BAT CTA
D BA CA

HELP ME

Answers

The answer is c I am sure of it no cap

16 What value could you put in place of the x to make it a function? * (8, 7) (7,-6) (-4,5) (x, 9)
a) 8
b) 7
c) 9
d) -4​

Answers

Answer:

(c) 9

Step-by-step explanation:

You can't have a repeated x-value in a function.

8 is taken by (8, 7)

7 is taken by (7,-6)

-4 is taken by (-4, 5)

9 is the only number that is not taken by any other point yet.

Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!

Hope this helped!

Luke's bill for breakfast at a restaurant was $80. He left a 20% tip. What was the amount of
the tip?

Answers

Answer:

$16

Step-by-step explanation:

Multiply $80 dollars by 20% or .2.

You should get $16.

A tip for the future is to move the decimal point to the left twice.

ie. 60%=0.6, 175%=1.75, 3%=0.03

Consider the line y = 7x-5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

m=5

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

Negate the slope: 7⇒ -7 Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

WILL GIVE BRAINLIST TO CORRECT ANSWER

3(10) + 2(x-4)

Answers

Answer:

2x+22

Step-by-step explanation:

Original price of a computer: $2,600.00 Discount: 6%

Answers

Answer:2444(new price after discount)

Step-by-step explanation:looked it up

2600-156

156(discount amount)

Answer:

Step-by-step explanation:

need help again !!!! Anyone plzzzz ?

Answers

Answer: D

A good trick to have up your sleeve is to just memorize that the equation of a like is (y - y1) = m * (x - x1).

This equation describes a point that passes through (x1, y1) with a slope m. This point (x1, y1) does not have to be on the y-axis. Also, since the question told us they want m = slope = -1/4, all we have to do is plug stuff in.

(y - y1) = m * (x - x1) => (y - 4) = -1/4 * (x - 4), or answer D. Also note that the normal ‘x’ and ‘y’ here are variables. We can solve this equation for ‘y’ to give a more traditional format: y = -1/4x + 5.

Simon had $15 to spend for lunch. He bought a large orange soda for $3.25 and a
cheeseburger for $11.95. When he reached in his pocket to pay, he found another
$4.25 to use towards his bill. How much money did Simon have after paying for
lunch?

Answers

Answer:

$4.05

How:

1. $15 + the extra $4.25 = $19.25

2. $3.25 + $11.95 for the meal = $15.20

3. $19.25 - $15.20 =  $4.05

Simon had $4.05 left after paying for lunch.

Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?

Answers

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

1. What name is given to the shaded region?
a. sector b. segment c. arc d. radii

2. The line ST is called..........
a. an arc b. a chord c. a diameter d. a radius ​

Answers

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

What is this, (2r-1)(r-1)? I'm so confused.

Answers

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

(2r-1)(r-1)
=2r(r-1) -1(r-1)
= 2r^2-2r-r+1
=2r^2-3r+1

Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake

Answers

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

May someone please help me with this :)

Answers

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

Answer the photo below thanks

Answers

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

Answer:

The answer is D.

I hope this helps.

Have nice day/night!!!!(wherever you are)

helpp please! i don't understand this

Answers

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

* A helicopter's altitude changes by – 28 ft in 3 s.
What is the average change in the helicopter's altitude
each second? Show your work.

Answers

Answer:

-9.33 ft per second

Step-by-step explanation:

To calculate this, you just have to divide -28 by 3. When doing this, it will give the change per second or for every 1 second.

-28/3 = -9.33

Therefore, the average change in the helicopter's altitude each second is -9.33 ft.

Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!

Answers

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty

Answers

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Can somebody solve this

Answers

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

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