Question

If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?

Answer 1

Answer:

Step-by-step explanation:

The standard form of a quadratic is

$y=a(x-h)^2+k$ where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

$y=(x-(+10))^2$ and simplified:

$y=(x-10)^2$  That is the parent graph shifted 10 units to the right.