Free Printable Fast Track Test 1 - Unit 4 Parent Functions & Transformations

1.

Identify the domain.

a)

Domain: $\left[-6,\ 8\right)$

b)

Domain: (-6, 8]

c)

Domain: [-6, 4)

d)

Domain: $\left[-6,-2\right]\cup\left(-2,8\right)$

2.

a)

y = 3|x + 2| - 5

b)

y = |3x + 2| - 5

c)

y = 3|x - 2| - 5

d)

y = |3x - 2| - 5

3.

Identify the range.

a)

Range: $\left[-6,\ 8\right)$

b)

Range: [-7, 9]

c)

Range: [-7, 8]

d)

Range $\left[-6,-2\right]\cup\left(-2,8\right)$

4.

Name the parent function.

a)

linear

b)

constant

c)

absolute value

d)

quadratic

5.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

6.

In the equation y= ax² + bx + c , if a > 0, then...

a)

the graph of the parabola will have a maximum.

b)

the graph of the parabola will open down

c)

the graph of the parabola will open up

d)

the vertex will be (0, 0).

7.

Determine the vertex for the following quadratic: y = x² - 9x + 20

a)

(2,3)

b)

(4,5)

c)

(4.5, -.25)

d)

(-4.5, .25)

8.

Which of the following is the graph of this function definition?

a)

b)

c)

d)

9.

Using the pictured graph, what is x when f(x) = -2?

a)

-2

b)

-1

c)

0

d)

1

e)

2

10.

When $x\le2$ , what equation is shown in the graph?

a)

f(x) = 3

b)

f(x) = x

c)

f(x) = | x |

d)

f(x) = | x - 1 |

11.

Match the graph with the correct equation.

a)

b)

c)

d)

12.

Match the graph with the correct equation.

a)

b)

c)

d)

13.

What is the vertex of the following function?
y= -4|x+2|+5

a)

(-4,2)

b)

(-2,5)

c)

(-4,-2)

d)

(2,5)

14.

What is the equation of the graph below?

a)

f(x ) = I x + 4 I + 2

b)

f(x ) = -I x - 4 I + 2

c)

f(x ) = I x - 4 I + 2

d)

f(x ) = -I x + 4 I + 2

15.

What is the correct equation for this graph?

a)

y < |x+4| -3

b)

y ≤ |x+4|+ 3

c)

y ≤ |x-4| -1

d)

y < 1/2|x+4| + 1/2

16.

What is the correct equation for this graph?

a)

y ≤ 2|x-1| - 1

b)

y ≤ 1/2|x-1| + 4

c)

y ≥ -2|x+1| - 2

d)

y ≥ -2|x-1| + 1

17.

Which correctly shows the inequality $y<\left(x+4\right)^2+1$ ?

a)

b)

c)

d)

18.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

19.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

20.

a)

A

b)

B

c)

C

d)

D

21.

Write the absolute value equations with the following transformations.

a)

$y=-\frac{1}{2}\left|x+4\right|-6$

b)

$y=\frac{1}{2}\left|x-4\right|-6$

c)

$y=\frac{1}{2}\left|x+4\right|-6$

d)

$y=-\frac{1}{2}\left|x-4\right|+6$

22.

What is the parent function for absolute value.

a)

y=|x|

b)

y=x

c)

y=-x

d)

y=-|x|

23.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

24.

When comparing the parent function y=|x|, what transformations have happened to the function y= -|x+4|-3.

Check all that apply.

a)

reflected over x-axis

b)

right 4

c)

left 4

d)

down 3

e)

up 4

25.

When comparing the parent function y=|x|, what transformations have happened to the function

y= 2|x-3|+1.

Check all that apply.

a)

up 1

b)

vertical compression by factor of 1/2

c)

vertical stretch by factor of 2

d)

left 3

e)

right 3

Fast Track Test 1 - Unit 4 Parent Functions & Transformations

Total questions: 25

Worksheet time: 28mins

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