Transformations of a Function

Transformations of a Function

What are the connections between values of parameters a, h, and k and the transformation of a function?

Vocab for this quiz

• Vertical compression means that the graph appears pulled vertically away from the x axis. A vertically compressed parabola would appear wider than the parent graph.

• Translation means a move. For example, "translation right" means a horizontal move to the right.

Multiple Select

If a < -1 (a is less than -1), the resulting graph shows what kind(s) of transformation(s), compared to the parent graph? (Select all that apply.)

• vertical compression

• vertical stretch

• vertical reflection

• translation left

• translation up

Multiple Select

if h < 0 (if h is negative), the resulting graph shows what kind(s) of transformation(s), compared to the parent graph? (Select all that apply.)

• translation right

• translation down

• vertical reflection

• translation left

• vertical compression

Multiple Select

If 0 < a < 1 (a is between 0 and 1), the resulting graph shows what kind(s) of transformation(s), compared to the parent graph? (Select all that apply.)

• vertical reflection

• vertical stretch

• translation right

• vertical compression

• translation down

Multiple Select

If k > 0 (if k is positive), the resulting graph shows what kind(s) of transformation(s)?

• translation up

• translation down

• vertical stretch

• translation right

• vertical compression