Question

Where do the graph shifted if the function changes from Y=x^2 to Y=(x+h)^2

Answer 1

The independent variable x is shifted (x + h). This is a value of h units to the right since it is the sum to the variable x.

So, the graph to find where the graph shift, we need to find the difference between these two values:

`(x+h)^2-x^2=x^2+2hx+h^2-x^2=2hx+h^2`

Then, the graph is shifted

`2hx+h^2`