Free Printable End of Year Graphs and Transformations Review

Free Printable Worksheets

Worksheets

End of Year Graphs and Transformations Review

Total questions: 20

Worksheet time: 37mins

Name

Class

Date

1.

The equation of red graph is y = x². What is the equation of the blue graph?

a)

y = (x + 2)² + 3

b)

y = 3(x + 2)²

c)

y = (x - 2)² + 3

d)

y = (x + 2)² - 3

2.

The line of symmetry of the blue graph is...

a)

y = 4

b)

x = -4

c)

(-4, -2)

d)

y = -4

3.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = -|x + 4| + 3

d)

f(x) = |x + 4| + 3

4.

Which function defines the graph?

a)

f(x) = -2|x - 3| + 4

b)

f(x) = -2|x - 4| + 3

c)

f(x) = -2|x + 3| + 4

d)

f(x) = -2|x + 4| + 3

5.

What type of function is shown?

a)

quadratic

b)

square root

c)

linear

d)

exponential

6.

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

a)

translated down 2 units

b)

translated up 2 units

c)

translated left 2 units

d)

translated right 2 units

7.

Which of the following graphs represent the equation shown?

a)

A

b)

B

c)

C

d)

D

8.

Which of the following is the graph of $y=\left(x-2\right)^3-4$

a)

b)

c)

d)

9.

Which of the following is the graph of $y=\left(x+5\right)^3-1$

a)

b)

c)

d)

10.

Identify the Transformations.

a)

Vertical stretch by 2 and down 4

b)

Horizontal compression by ½ and down 4

c)

Vertical stretch by 2 and up 4

d)

Horizontal compression by ½ and right 4

11.

Which of the facts is NOT true about the graph shown?

a)

The range is y ∈ ℝ

b)

The function has been shifted 6 units right.

c)

The function has been shifted up 1 unit

d)

The function has been vertically stretched by a factor of 2.

12.

Which of the following equations produces the given graph?

a)

$y=\log_2x$

b)

$y=\frac{1}{x}$

c)

$y=2^x$

d)

$y=\left|x\right|$

13.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

14.

What is the range of the function shown below?

a)

0 < y < 12

b)

-2 < y < 5

c)

y > 0

d)

All Real Numbers

15.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

16.

Which graph best represents the following logarithmic function?
$y=\log_2x$

a)

b)

c)

d)

17.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

18.

Which of the following equations produces the given graph?

a)

$y=\log_2x$

b)

$y=\frac{1}{x}$

c)

$y=2^x$

d)

$y=\left|x\right|$

19.

Which of the following represents the graph below?

a)

b)

c)

d)

20.

Which of the following represent the graph?

a)

b)

c)

d)

Reset

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