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

Respuesta :

Answer:

Step-by-step explanation:

The standard form of a quadratic is

[tex]y=a(x-h)^2+k[/tex] 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:

[tex]y=(x-(+10))^2[/tex] and simplified:

[tex]y=(x-10)^2[/tex]  That is the parent graph shifted 10 units to the right.