Question

The graph of F(x) shown below has the same shape as the graph of G(x) x^2 but it is shifted to the left 1 unit what is the equation

Answer 1

f(x) = (x+1)^2

Explanation:

Function transformations move a graph by shifting it up or down or left or right as well as vertically or horizontally stretching it. They take the parent function and manipulate the equation to create a new graph. The parent graph here is x^2 and its shifts 1 unit to the left. Horizontal shifts occur within the operation such as (x+/-a)^2. Here it would be (x+1)^2 since it moved 1 unit to the left. Left is addition and subtraction is right.