Question

Given the function: f(x)=−(x−3)2+3. Describe the transformations in the order in which they occur.

Answer 1

First, reflection over the x- axis, then a horizontal translation 3 units to the right and 3 units up.

Explanation:

Order does not matter. The - before the (x-3) makes a reflection over the x-axis. Then, the -3 in the (x-3) makes the graph translate 3 units to the right, and the +3 is 3 units up.