A2 Lesson 18: Checkpoint: Transformations of Parent Functions Solution

Checkpoint: Transformations of Parent Functions Solution

Name the type of function and a, h, and k. Then explain the transformation from the parent graph.

Square root

a = 4
h = 1
k = –3

The square root function is stretched by a factor of 4 because $a = 4 .$ It also shifts right 1 and down 3 because $h = 1,$ and $k = - 3 .$

Note

You may sketch the parent function $y = \sqrt{x},$ which can help you determine the value of a.

Q: What points can be marked on the transformed graph to determine a, h, and k ?

A: The starting point: $(1, - 3),$ and the next two points that cross grid lines: $(2, 1), (5, 5) .$