Question

the function h(x)=1/2(x+3) ^2+2. how is the graph h(x) translated from the parent graph of a quadratic function f(x)=x^2? select all that apply

Answer 1

shifted to the LEFT 3 units

shifted UP 2 units

(also schmashed by a factor of 1/2)

Explanation:

Inside the parentheses, in close with the x shifts the curve in the x direction. That is, left or right. Horizontal shifts are the opposite of what your intuition may say to you.

"x + anumber" translates the graph to the LEFT.

The 2 tacked on to the end pushes the graph UP 2 units.

It is not a translation, but the 1/2 in front flattens the curve, making it fatter, and wider.