Quiz about Transforming Linear Equations

Question 1

How do the equation shift from the parent function f(x)+d?

Accepted Answer

Shifted up "d" units

Answer

Shifted down "d" units

Answer

Vertically stretches "d" units

Answer

Compress vertically

Question 2

How did the equation shift from the parent function? f(x)-d

Accepted Answer

Shifted down "d" units

Answer

Shifted up "d" units

Answer

Vertically stretches "d" units

Answer

Horizontally stretches "d" units

Question 3

How did the equation g(x)=f(x)-d shift from the parent function?

Accepted Answer

Vertically shifts down "d" units

Answer

Vertically stretches "d" units

Answer

Horizontal shift to the left d units

Answer

Vertically shifts up "d" units

Question 4

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

Accepted Answer

Reflection across the x-axis.

Answer

Reflection across the y-axis

Answer

Steeper

Answer

Less steep

Question 5

What happens when the parent function is changed to f(x+d) ?

Accepted Answer

Horizontal shift to the left "d" units

Answer

Horizontal shift to the right "d" units

Answer

Vertical shift down "d" units

Answer

Vertical shift up "d" units

Question 6

How did the equation g(x)=f(x)+d shift from the parent function?

Accepted Answer

Vertically shifts up "d" units

Answer

Vertically stretches "d" units

Answer

Vertically shifts down "d" units

Answer

Horizontal shift to the left d units

Question 7

What happens when the parent function is changed to f(x-d) ?

Accepted Answer

Horizontal shift to the right "d" units

Answer

Horizontal shift to the left "d" units

Answer

Vertical shift down "d" units

Answer

Vertical shift up "d" units

Question 8

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

Accepted Answer

Vertical shift up by 2 units

Answer

Horizontal shift to the right 2 units

Answer

Horizontal shift to the left 2 units

Answer

Reflection across the x-axis

Question 9

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

Accepted Answer

f(x) has been translated down 4.

Answer

f(x) has been translated up 4.

Question 10

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x+10)?

Accepted Answer

The graph of the line shifts horizontally left 10 units.

Answer

The graph of the line become steeper.

Answer

The graph of the line shifts vertically up 10 units.

Answer

The graph of the line shifts horizontally right 10 units.

Question 11

How did the equation f(x+7) shift from the parent function?

Accepted Answer

Horizontal shift to the left by 7

Answer

Vertical stretch by a factor of 7

Answer

Vertical compression by a factor of 7

Answer

Horizontal shift to the right by 7

Question 12

Name the parent function.

Accepted Answer

linear

Answer

constant

Answer

absolute value

Answer

quadratic

Question 13

g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).

Accepted Answer

f(x) has been translated to the right 3.

Answer

f(x) has been translated to the left 3.

Question 14

If f(x)=x and g (x)= 5f(x), how does the graph g(x) compare to the graph of f(x)?

Accepted Answer

The graph of g is steeper than the graph of f

Answer

The graph of g is less steeper than to the graph of f

Answer

The graph of g is 5 units above the graph of f

Answer

The graph of g is 1/5 units above the graph of f

Question 15

How did the equation f(x-4) shift from the parent funtion?

Accepted Answer

Horizontal shift to the right by 4

Answer

Horizontal shift to the left by 4

Answer

Horizontal stretch by 4

Answer

Vertical stretch by 4

Question 16

Given a description of the graph:

This graph is less steep by a factor of 1/5 compared to the parent function. Which is the correct equation on how this would be written?

Accepted Answer

1/5f(x)

Answer

5f(x)

Answer

f(x)+1/5

Answer

f(x)+1/5

Question 17

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x-10)?

Accepted Answer

The graph of the line shifts horizontally right 10 units.

Answer

The graph of the line become steeper.

Answer

The graph of the line shifts vertically up 10 units.

Answer

The graph of the line shifts horizontally left 10 units.

Question 18

Looking at the graphs f(x)=x and g(x)=3f(x), what effects are happening to the parent function f(x)=x?

Accepted Answer

The graph g(x) is steeper than f(x)

Answer

The graph g(x) is less steep than f(x)

Answer

The graph g(x) is horizontally shifted by a factor of 3

Answer

The graph g(x) is vertically shifted by a factor of 3

Question 19

Which equation below is a linear function translated left 4 units?

Accepted Answer

f(x) = (x + 4)

Answer

f(x) = x + 4

Answer

f(x) = (x - 4)

Answer

f(x) = 4x

Question 20

Two function are given below.

f(x)=x

1/3(x)

How does 1/3f(x) compare to the graph of the parent function?

Accepted Answer

The graph 1/3f(x) is less steep compared to the parent function

Answer

The graph 1/3f(x) is vertically shifted up 4 units

Answer

The graph 1/3(x) is horizontally shifted to the left 4 units

Answer

The graph 1/3f(x) is more steep compared to the parent function

Question 21

If f(x)=x and g (x)= 1/5 f(x), how does the graph g(x) compare to the graph of f(x)?

Accepted Answer

The graph of f is steeper than the graph of g

Answer

The graph of f is perpendicular to the graph of g

Answer

The graph of g is 5 units above the graph of f

Answer

The graph of g is 1/5 units above the graph of f

Question 22

A student graphed f(x)=x and g(x)= f(x)+2 on the same coordinate grid. Which statement describes how the graph of f and are related?

Accepted Answer

The graph of g is shifted 2 units up from the graph of f

Answer

The graph of g is less steep than the graph of f

Answer

The graph of g is more steep than the graph of f

Answer

The graph of g is shifted 2 units down from the graph of f

Question 23

Looking at the graphs f(x)=x and g(x)=1/3f(x), what effects are happening to the parent function f(x)=x?

Accepted Answer

The graph g(x) is less steep than f(x)

Answer

The graph g(x) is steeper than f(x)

Answer

The graph g(x) is horizontally shifted by a factor of 3

Answer

The graph g(x) is vertically shifted by a factor of 3

Question 24

If the graph of the parent function f(x) = x is shifted 7 units

down, which of the following equations would the new graphed line represent?

Accepted Answer

f(x) = (x - 7)

Answer

f(x) = 7x

Answer

f(x) = (x + 7)

Answer

f(x) = (7x - 7)

Question 25

Two function are given below.

f(x)=x

4f(x)

How does 4f(x) compare to the graph of the parent function?

Accepted Answer

The graph 4f(x) is more steep compared to the parent function

Answer

The graph 4f(x) is less steep compared to the parent function

Answer

The graph 4f(x) is vertically shifted up 4 units

Answer

The graph 4(x) is horizontally shifted to the left 4 units

Question 26

Given a description of the graph:

This graph is steeper by a factor of 7 compared to the parent function. Which is the correct equation on how this would be written?

Accepted Answer

7f(x)

Answer

1/7f(x)

Answer

f(x)+1/7

Answer

f(x)+7

Question 27

Looking at both the parent function f(x)=x and 7f(x), what effects are happen to the linear parent function?

Accepted Answer

The graph 7f(x) is vertically stretched by a factor of 7

Answer

The graph 7f(x) is vertically shifted up by a factor of 7

Answer

The graph 7f(x) is horizontally shifted to the right by a factor of 7

Answer

The graph 7(x) is vertically compressed by a factor of 1/7

Question 28

The graph of f(x)=x was transformed to create the graph 1/4f(x). Which of the following describes this transformation?

Accepted Answer

The graph 1/4f(x) is less steep than the parent function

Answer

The graph 1/4f(x) is steeper than the parent function

Answer

The graph 1/4f(x) has a horizontal stretch to the left by a factor of 1/4 compared to the parent function

Answer

The graph 1/4f(x) has a vertical shift up by 1/4 compared to the parent function

Question 29

Given a description of the graph:

This graph is steeper by a factor of 9 compared to the parent function. Which is the correct equation on how this would be written?

Accepted Answer

9f(x)

Answer

1/9f(x)

Answer

f(x)+1/9

Answer

f(x)+9

Question 30

(x, y) -------> (x, -y) is a reflection over the x axis.

Accepted Answer

True

Answer

False

Question 31

Looking at the graphs f(x)=x and g(x)=-2f(x), what effects are happening to the parent function f(x)=x?

Accepted Answer

The graph g(x) is steeper than f(x) by a factor of 2 and reflected across the x-axis

Answer

The graph g(x) is less steep than f(x) by a factor of 2 and reflected across the x-axis

Answer

The graph g(x) is horizontally shifted by a factor of 2 and reflected across the y-axis

Answer

The graph g(x) is vertically shifted by a factor of 2 and reflected across the y-axis

Question 32

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 33

True or false: This equation f(x)-8 has a vertical shift down by 8 from the linear parent function f(x)=x.

Accepted Answer

True

Answer

False

Question 34

The original graph is f(x). The new graph has been reflected across the x axis and has a vertical stretch of 2. The equation for the new graph in f(x) notation is:

Accepted Answer

-2f(x)

Answer

-f(x)

Answer

2f(-x)

Answer

f(-x)

Question 35

Looking at both the parent function f(x)=x and -1/6f(x), what effects are happen to the linear parent function?

Accepted Answer

The graph 1/6f(x) is vertically compressed by a factor of 1/6 and reflected over the x-axis

Answer

The graph 1/6f(x) is vertically stretched by a factor of 1/6 and reflected over the x-axis

Answer

The graph 1/6f(x) is vertically shifted up by a factor of 1/6 and reflected over the x-axis

Answer

The graph 1/6f(x) is horizontally shifted to the right by a factor of 1/6 and reflected over the x-axis

Question 36

Question 36.

Accepted Answer

horizontal shift to the left 4 and vertical shift down 2

Answer

horizontal shift to the right 4 and vertical shift down 2

Answer

horizontal shift to the left 4 and vertical shift up 2

Answer

horizontal shift to the right 4 and vertical shift up 2

Transforming Linear Equations

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