SOLUTION: Whats the comparison of the graph y = x and the graph of y = a(x ­ h)2+ k? a, h, and k can be made up of your own values. ty

Algebra ->  Equations -> SOLUTION: Whats the comparison of the graph y = x and the graph of y = a(x ­ h)2+ k? a, h, and k can be made up of your own values. ty      Log On


   

Question 1032579: Whats the comparison of the graph y = x and the graph of y = a(x ­ h)2+ k?
a, h, and k can be made up of your own values.
ty
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x is a straight line with a slope of 1.
y=a%28x-h%29%5E2%2Bk is a parabola with a vertex located at (h,k). If a%3E0, it opens upwards, if a%3C0 it opens downwards.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The first is a straight line and the second a parabola.
Let a=1, h=2 and k=2, and the vertex is (2,2), with the parabolic equation being (x-2)^2+2, or x^2-4x+6
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C%28x-2%29%5E2%2B2%29