Quiz about Linear Transformations

Question 1

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

Accepted Answer

f(x) = 3/2x + 7

Answer

f(x) = 7x + 3

Answer

f(x) = x + 7

Answer

f(x) = 2/3x + 7

Question 2

Which represents the parent function shifted down two units?

Accepted Answer

f(x) = x - 2

Answer

f(x) = -2x

Answer

f(x) = x + 2

Answer

f(x) = 2x

Question 3

What is the parent function

of linear functions?

Accepted Answer

f(x) = x

Answer

y = 2x

Answer

y = mx + b

Answer

Not here

Question 4

Identify the line less steep than:

y = 3x + 8

Accepted Answer

y = 2x + 7

Answer

y = 5x + 8

Answer

y = 3x + 5

Answer

y = -3x + 6

Question 5

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

Accepted Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted right 3 units

Question 6

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation.

Accepted Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted right 3 units

Question 7

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

Accepted Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted right 6 units

Question 8

Identify the line less steep than:

y = 3x + 8

Accepted Answer

y = 2x + 7

Answer

y = 5x + 8

Answer

y = 3x + 5

Answer

y = -3x + 6

Question 9

How does the graph of g(x) compare to f(x)?

Accepted Answer

g(x) is steeper and shifted down from f(x)

Answer

g(x) is steeper and shifted up from f(x)

Answer

g(x) is flatter and shifted down from f(x)

Answer

g(x) is flatter and shifted up from f(x)

Question 10

Describe the transformation from the parent function: y = 3x + 5

Accepted Answer

Steeper; Shift up 5 units

Answer

Steeper; Shift down 5 units

Answer

Flatter; Shift up 5 units

Answer

Flatter; Shift down 5 units

Question 11

How did the equation shift from the parent function? y = -3f(x) + 5

Accepted Answer

Reflection over x-axis, steeper, up 5

Answer

Reflection over y-axis, less steep, right 5

Answer

Steeper, left 5

Answer

reflection over x-axis, less steep, up 5

Question 12

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

Accepted Answer

The graph of g is steeper than the graph of f.

Answer

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

Answer

The graph of f is shifted 2 units up to create the graph of g.

Answer

The graph of f is shifted 2 units to the right to create the graph of g.

Question 13

The function f(x) = x is graphed. A new line is formed by changing the slope to 3 and the y-intercept to -2. Which is true?

Accepted Answer

The graph of the new line is steeper and the y-intercept has been translated down.

Answer

The graph of the new line is less steep and the y-intercept has been translated down.

Answer

The graph of the new line is steeper and the y-intercept has been translated up.

Answer

The graph of the new line is less steep and the y-intercept has been translated up.

Question 14

What are the transformations shown here?

3f(x) - 2

Accepted Answer

more steep, down 2

Answer

less steep, down 2

Answer

more steep, reflection

Answer

more steep, up 2

Question 15

Which transformation on

f(x) = x

is g(x) = -f(x)

Accepted Answer

Reflection across the x-axis.

Answer

Reflection across the y-axis

Answer

The slope will be less steep

Answer

The graph will be wider

Question 16

Describe the change of the graph of f(x)=2x+1 when transformed to g(x)=4x+2

Accepted Answer

g(x) is steeper and shifted one unit up

Answer

g(x) is steeper and shifted one unit down

Answer

g(x) is less steep and shifted one unit up

Answer

g(x) is parallel and shifted one unit down

Question 17

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

Accepted Answer

Up 7

Answer

Down 7

Answer

Less steep

Answer

Steeper

Question 18

Describe the transformation from the parent function.

Accepted Answer

Steeper/Vertical stretch

Answer

Flatter/Vertical compress

Answer

Shift up 2 units

Answer

Shift down 2 units

Question 19

Which of the following equations has a slope of 0?

Accepted Answer

y = 4

Answer

y = 4x

Answer

x = 4

Answer

y = x

Linear Transformations

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