Quiz about Linear Transformations

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

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

Accepted Answer

g(x) is shifted left 3 units

Answer

g(x) is shifted up 3 units

Answer

g(x) is shifted down 3 units

Answer

g(x) is shifted right 3 units

Question 3

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 4

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

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Translation right 2 units

Answer

Reflection across the x-axis.

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 + 6). Describe the transformation.

Accepted Answer

g(x) is shifted left 6 units

Answer

g(x) is shifted up 6 units

Answer

g(x) is shifted down 6 units

Answer

g(x) is shifted right 6 units

Question 7

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 8

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

Accepted Answer

vertical

Answer

horizontal

Question 9

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 10

How did the equation shift from the parent function? y = f(x - 4)

Accepted Answer

Shift right by 4

Answer

Shift left by 4

Answer

Horizontal Stretch by 4

Answer

Vertical Stretch by 4

Answer

Shift down by 4

Question 11

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 12

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

Accepted Answer

3 right, 5 up

Answer

3 left, 5 up

Answer

3 Down

Answer

Moved 5 right

Question 13

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 14

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

Accepted Answer

f(x) = (x+5)+7

Answer

f(x) = (x+7)-5

Answer

f(x) = x+12

Answer

f(x) = 7x - 3

Question 15

Is the function Linear or Nonlinear?

Accepted Answer

Nonlinear

Answer

Linear

Question 16

Is this function linear or non linear?

Accepted Answer

Linear

Answer

Non Linear

Linear Transformations

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