Quiz about Linear Function Transformations (Modules 6/7)

Question 1

What is the parent function

of linear functions?

Accepted Answer

f(x) = x

Answer

y = 2x

Answer

y = mx + b

Answer

Not here

Question 2

How did the equation shift from the parent function?

y = -5x + 2

Select all that apply.

Accepted Answer

Shifted up "2" units

Accepted Answer

Reflection

Accepted Answer

Stretches vertically

Answer

Shifted down "2" units

Answer

Shrinks vertically

Question 3

How did the equation f(x) = x change if

g(x) = 1/2x + 11

Accepted Answer

Vertical shrink and shift up 11

Answer

Vertical stretch and shift up 11

Answer

Horizontal shrink and shift down 11

Answer

Horizontal stretch and shift down 11

Question 4

If the graph of the parent function is translated 7 units up and is has a vertical stretch from 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 5

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 6

Compare the the transformations of the functions:

f(x)= -x + 8

g(x) = x + 4

Accepted Answer

Reflection, vertical shift down 4

Answer

Reflection

Answer

Vertical shift down 4

Answer

Reflection, vertical shift up 4

Question 7

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 8

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

Accepted Answer

f(x) = 4x + 2

Answer

f(x) = 5x - 2

Answer

f(x) = 4x + 3

Answer

f(x) = 5x - 4

Question 9

Choose ALL the equations that have the

same steepness as y = 3/4x + 9

Accepted Answer

y = -3/4x - 6

Accepted Answer

y = 0.75x + 1

Accepted Answer

y = -9/12x - 2

Answer

y = -4/3x + 9

Question 10

Describe the transformations that have occurred from the parent function to the given function g(x).

Accepted Answer

Reflection over x axis; Vertical stretch by factor of 2

Answer

Reflection over y axis

Answer

Translation down 2

Answer

Reflection over x axis; Translation down 2

Question 11

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a vertical translation 2 units up of the graph of f

Answer

The graph of g is a vertical shrink by a factor of 2 of the graph of f

Answer

The graph of g is a vertical stretch by a factor of 2 of the graph of f

Answer

The graph of g is a reflection of the graph of f

Question 12

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a horizontal translation of the graph of f, 4 units left

Answer

The graph of g is a vertical translation 4 units up from the graph f

Answer

The graph of g is a horizontal translation of the graph of f, 4 units right

Answer

The graph of g is a vertical stretch of the graph of f, by a factor of 7

Question 13

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

Graph g is a reflection.

Answer

Graph g shifts down 2 units.

Answer

Graph g is steeper by a factor of 2

Answer

Graph g is less steeper by a factor of 1/2

Question 14

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

Graph g is less steep by a factor of 1/5

Answer

Graph g shifted down 1 unit

Answer

Graph g is steeper by a factor of 1/5

Answer

Graph g shifted up 2 units

Question 15

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

Graph g shifted down 4 units

Answer

Graph g shifted down 3 units

Answer

Graph g shifted up 4 units

Answer

Graph g reflected

Question 16

Given y=mx+b, and you change the parameter b, what transformation has occurred?

Accepted Answer

Translation (+b=up and -b=down)

Answer

Reflection

Answer

Vertical Stretch

Answer

Vertical Shrink (compression)

Question 17

Given y=mx+b, and you change the parameter m to -m, what transformation has occurred?

Accepted Answer

Reflection

Answer

Vertical Stretch

Answer

Vertical Shrink (compression)

Answer

Translation (+b=up and -b=down)

Question 18

Given y=mx+b, and you change the parameter m to a number |m|>1, what transformation has occurred?

Accepted Answer

Vertical Stretch

Answer

Reflection

Answer

Vertical Shrink (compression)

Answer

Translation (+b=up and -b=down)

Question 19

Given y=mx+b, and you change the parameter m to a number 0<|m|<1, what transformation has occurred?

Accepted Answer

Vertical Shrink (compression)

Answer

Reflection

Answer

Vertical Stretch

Answer

Translation (+b=up and -b=down)

Linear Function Transformations (Modules 6/7)

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