Free Printable Unit 1 REVIEW

1.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

2.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

3.

Q.

Name the parent function.

a)

Linear

b)

quadratic

c)

cubic

d)

Square root

4.

Identify the parent function of the graph.

a)

Exponential

b)

Linear

c)

Absolute Value

d)

Cubic

5.

Which of the following graphs is the parent function to the function

$f\left(x\right)=2^{\left(x-4\right)}+6$ ?

a)

b)

c)

d)

6.

Describe the transformation of the equation below from the absolute value parent function. SELECT ALL THAT APPLY $y=-2\left|x-3\right|$

a)

reflected over x axis,

b)

stretched by 2

c)

shrunk by 2

d)

down 3

e)

right 3

7.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

8.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

9.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

10.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

11.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

12.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

13.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

14.

What type of correlation does this scatterplot display?

a)

Positive

b)

Negative

c)

No Correlation

15.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

a)

Vertical stretch by a factor of 2

b)

Vertical compression by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Horizontal compression by a factor of 1/2

16.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

17.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

18.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

19.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

20.

What is f(8)?

a)

8

b)

0

c)

3

d)

-2

21.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

22.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

23.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

24.

The graph of the cubic parent function is

vertically stretched by a factor of three,

then shifted two units left and five units down.

Write the equation of the new function, f(x).

(a)

25.

Which function has a range of $\left[0,\ \infty\right)$ ?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Cubic

26.

Which function does not have a domain from $\left(-\infty,\ \infty\right)$

a)

Square Root

b)

Exponential

c)

Absolute Value

d)

Quadratic

27.

If the blue graph is the parent function, what is the equation of the red (transformed) function?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

28.

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

a)

g(x)= x²+3

b)

g(x)= (x+3)²

c)

g(x)= (x-3)²

d)

g(x) =(x-2)²

Unit 1 REVIEW

Total questions: 28

Worksheet time: 1hrs 9mins

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