Free Printable Quiz-5 retake

1.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

2.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

3.

Identify the Transformations.

y= $\sqrt[3]{2x}+3$

a)

Vertical stretch by 2 and down 3

b)

Horizontal compression by ½ and down 3

c)

Vertical stretch by 2 and up 3

d)

Horizontal compression by ½ and up 3

4.

What transformations has the function undergone?

a)

reflect over y, vertical compress by 2, right 5, up 1

b)

reflect over x, horizontal compression by 2, left 5, up 1

c)

reflect over x, vertical stretch by 2, right 5, up 1

d)

reflect over y, horizontal stretch by -2, right 5, up 1

5.

What are the transformations ? $\frac{1}{x+2}-3$

a)

Left 2 ,Down 3

b)

Right 2, Down 3

c)

Right 2, up 3

d)

Left 2, up 3

6.

A cubic function is shifted to the right by 1 unit.

a)

g(x)= $\sqrt[3]{x-1}$

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

7.

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

a)

1/4 ∛(x + 9)

b)

1/4 ∛(x - 9)

c)

- 1/4 ∛(x + 9)

d)

- 1/4 ∛(x - 9)

8.

Describe the transformation of the graph y = -2(x + 5)³

a)

Shrink by 2, Reflected over y-axis, Right 5

b)

Stretch by 2, Reflected over x-axis, Left 5

c)

Stretch by 2, Reflected over x-axis, Right 5

d)

Shrink by 2, reflected over y-axis, Left 5

9.

Which quadratic function below is reflected over the y axis and stretched vertically by 3 and translated up by 1

a)

$-3x^2+1$

b)

$3\left(-x^2\right)+1$

c)

$3\left(\left(-x\right)^2\right)+1$

d)

$-3\left(x+1\right)^2$

10.

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

a)

$y=-|x+2|-7$

b)

$y=|x-2|-7$

c)

$y=-|x-2|-7$

d)

$y=-|x-2|+7$

11.

What equation would yield a transformation right 3 units if your initial function was y=2^x

a)

y=2^x-3

b)

y=2^x+3

c)

y=2^x+³

d)

y=2^x-³

12.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

13.

The quadratic parent function $f\left(x\right)\ =\ x^2$ has been transformed by shifting it right three units and down 7 units. Which is the next function definition?

a)

$f\left(x\right)\ =\ \left(x+3\right)^{2\ }-\ 7$

b)

$f\left(x\right)\ =\ \left(x-3\right)^{2\ }-\ 7$

c)

$f\left(x\right)\ =\ \left(x+3\right)^{2\ }+\ 7$

d)

$f\left(x\right)\ =\ \left(x-3\right)+\ 7$

14.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

shift right 2

b)

shift left 2

c)

shift up 4

d)

shift down 4

15.

Describe the transformation: y=-3(x-2)²-4.

*Mark all that apply.

a)

reflection across x-axis

b)

VS by factor of 3

c)

VC by factor of 3

d)

down 4

e)

right 2

16.

Write the equation of this transformation: reflection across x-axis, left 2, down 5

a)

y= -(x+2)²+5

b)

y= -(x+2)²

c)

y= (x-2)²-5

d)

y= -(x+2)²-5

Quiz-5 retake

Total questions: 16

Worksheet time: 26mins

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