Quiz about Algebra 1 Function Transformation

Question 1

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

Accepted Answer

f(x - 3)

Answer

f(x + 3)

Answer

f(x) + 3

Answer

f(x) - 3

Question 2

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

Accepted Answer

f(x + 2)

Answer

f(x) + 2

Answer

f(x - 2)

Answer

f(x) - 2

Question 3

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

Accepted Answer

-f(x)

Answer

f(-x)

Question 4

The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?

Accepted Answer

2f(x)

Answer

f(2x)

Question 5

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

Accepted Answer

f(x - 4) + 3

Answer

f(x + 3) - 4

Answer

f(x + 4) + 3

Answer

f(x + 3) + 4

Question 6

The original graph is f(x). The new graph has been reflected across the y-axis and moved 6 to the right. Which of the following represents the new graph?

Accepted Answer

f(-x - 6)

Answer

f(x - 6)

Answer

-f(x + 6)

Answer

f(-x + 6)

Question 7

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

Accepted Answer

-f(x + 3) + 5

Answer

f(x + 3) + 5

Answer

-f(x - 3) + 5

Answer

-f(x + 5) + 3

Question 8

The original graph is f(x). The new graph has been vertically stretched by a factor of 4 and translated down 4.

Accepted Answer

4f(x) - 4

Answer

f(4x - 4)

Answer

4f(x -4)

Answer

f(4x) - 4

Question 9

Name the parent function.

Accepted Answer

Absolute Value

Answer

Quadratic

Answer

Square Root

Answer

Linear

Question 10

Name the parent function.

Accepted Answer

Quadratic

Answer

Linear

Answer

Absolute Value

Answer

Square Root

Question 11

Name the parent function.

Accepted Answer

Square Root

Answer

Linear

Answer

Quadratic Root

Answer

Absolute Value

Question 12

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

Accepted Answer

f(x + 2)

Answer

f(x) + 2

Answer

f(x - 2)

Answer

f(x) - 2

Question 13

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

Accepted Answer

-f(x)

Answer

f(-x)

Question 14

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Accepted Answer

The graph of y = f(x) was shifted down 5 units.

Answer

The graph of y = f(x) was shifted to the right 5 units.

Answer

The graph of y = f(x) was shifted to the left 5 units.

Answer

The graph of y = f(x) was shifted up 5 units.

Question 15

Identify the transformation from the graph of f(x)=x²to the graph g(x)= x² - 5

Accepted Answer

shifted down five units

Answer

shifted up five units

Answer

shifted left five units

Answer

shifted right five units

Question 16

Identify the transformation from the graph of f(x)=x²to the graph g(x)= (x+5)²

Accepted Answer

shifted left 5 units

Answer

shifted up five units

Answer

shifted down five units

Answer

shifted right 5 units

Question 17

Identify the transformation from the graph of f(x)=x²to the graph g(x)= x² + 5

Accepted Answer

shifted up five units

Answer

shifted down five units

Answer

shifted left five units

Answer

shifted right five units

Question 18

Identify the transformation from the graph of f(x)=x²to the graph g(x)= (x - 5)²

Accepted Answer

shifted right five units

Answer

shifted up five units

Answer

shifted down five units

Answer

shifted left five units

Question 19

Describe the transformation FROM dotted TO solid.

Accepted Answer

f(x) + 4

Answer

f(x + 4)

Answer

f(x - 4)

Answer

f(x) - 4

Question 20

Write an equation for the graph below.

Accepted Answer

f(x) = (x-2)² + 1

Answer

f(x)=x² + 2

Answer

f(x)= (x+2)² - 1

Answer

f(x)= (x+2)² + 1

Question 21

The blue is f(x)=|x|, red must be ____?

Accepted Answer

g(x) =|x-2|

Answer

g(x) =|x+2|

Answer

g(x) =|x|+2

Answer

g(x) =|x|-2

Question 22

. If the blue is f(x)=x^2,then the red must be ___?

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 23

y = 6(-x)²

Accepted Answer

Stretched 6 and reflected over the      y-axis

Answer

Stretched 6 and reflected over the x-axis

Answer

Shrunk 6 and reflected over the y-axis

Answer

Shrunk 6 and reflected over the x-axis

Question 24

Question 24.

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical compression by a factor of 3

Answer

horizontal shift to the left 2 and vertical compression by a factor of 3

Question 25

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

A. g(x) = 2x²

Answer

B. g(x) = 1/2x²

Answer

C. g(x) = x² + 2

Answer

D. g(x) = (x + 2)²

Question 26

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

A. y = 1/2(x - 3)²

Answer

B. y = 1/2(x + 3)²

Answer

C. y = 2(x - 3)²

Answer

D. y = 2(x + 3)²

Question 27

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 28

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 29

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

Accepted Answer

reflected over x axis, stretched by 2, right 3, up 3

Answer

reflected over x axis, stretched by 2, left 3 up 3.

Answer

reflected over x axis, shrunk by 2, right 3, up 3

Answer

reflected over the x axis, shrunk by 2, left 3, up 3

Question 30

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Accepted Answer

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

Answer

Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

Question 31

Question 31.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 32

What causes the graph of y = x² to open downward?

Accepted Answer

multiply the x² by a negative number

Answer

multiply the x² by a fraction

Answer

multiply the x² by a decimal

Answer

multiply the x² by a number greater than 1

Question 33

How is this function transformed from the parent function?

Accepted Answer

Translated right

Answer

Translated left

Answer

Translated down

Answer

Translated up

Question 34

How is this function transformed from the parent function?

Accepted Answer

Translated left

Answer

Translated right

Answer

Translated down

Answer

Translated up

Question 35

How is this function transformed from the parent function?

Accepted Answer

Translated down

Answer

Translated left

Answer

Translated right

Answer

Translated up

Question 36

How is this function transformed from the parent function?

Accepted Answer

Translated right and down

Answer

Translated left and up

Answer

Translated right and up

Answer

Translated left and down

Question 37

All of the y values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Answer

Relation

Answer

Function

Question 38

Which graph passes the vertical line test?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 39

Does the table represent a function?

Accepted Answer

No, there is a repeated x-value.

Answer

Yes, there  is a repeated x-value.

Answer

No, there aren't any repeated y-values.

Answer

Yes, there are repeated y-values.

Question 40

Is the following relation a function?

Accepted Answer

Yes

Answer

No

Question 41

What test is used to determine if a graphed relation is a function?

Accepted Answer

The Vertical Line Test

Answer

The Horizontal Line Test

Answer

The Diagonal Line Test

Answer

The Litmus Test

Question 42

Is this graph 1-1?

Accepted Answer

No

Answer

Yes

Question 43

What kind of relationship is represented by this function?

Accepted Answer

function and 1:1

Answer

function and not 1:1

Answer

not a function and 1:1

Answer

not a function and not 1:1

Question 44

What kind of relationship is represented by this function?

Accepted Answer

function and 1:1

Answer

function and not 1:1

Answer

not a function and 1:1

Answer

not a function and not 1:1

Question 45

Given f(x) = -4x - 10 and f(x) = 10. Find x

Accepted Answer

x = -5

Answer

x = 5

Answer

x = -50

Answer

x = 30

Question 46

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

Accepted Answer

(2, 1) (8, 3) (6, -3)

Answer

(1, 2) (3, 8) (-3, 6)

Answer

(1, 2) (8, 3) (-3, 6)

Answer

(-1, -2) (-3, -8) (3, -6)

Question 47

Will the inverse of this function be a function?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 48

Find the inverse of
f(x) = 1/4x - 7

Accepted Answer

f^-1(x) = 4x + 28

Answer

f^-1(x) = 4x + 7

Answer

f^-1(x) = -4x + 28

Answer

f^-1(x) = -4x - 7

Algebra 1 Function Transformation

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