Parent Function Transformation

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

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

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

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• f(-1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4

• A

• B

• C

• D

How is the blue graph different from the red parent graph?

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

• Reflect over the x-axis, vertical stretch by 0.2, translate up 1

• Reflect over the x-axis, vertical compression by 0.2, translate up 1

• Reflect over the y-axis, vertical stretch by 0.2, translate up 1

• Reflect over the y-axis, vertical compression by 0.2, translate up 1

Name the parent function. 

• constant

• quadratic

• linear

• exponential