Question

Given h(x)=5(x-6)^2+2 what transformations were done compared to the parent function f(x)=x^2?

Answer 1

Answer:

1. Translation 6 units to the right.

2. Stretch by a factor 5.

3. Translation 2 units up.

Step-by-step explanation:

Consider parent function $f(x)=x^2.$

1. Translate the graph of the function 6 units to the right. Then you get the function $f_1(x)=(x-6)^2.$

2. Stretch the graph of the function  $f_1(x)=(x-6)^2$ by a factor 5 and get the function $f_2(x)=5(x-6)^2.$

3. Translate the graph of the function $f_2(x)=5(x-6)^2$  2 units up to fet the function $h(x)=5(x-6)^2+2.$