Question 365215: If a quadratic function has its vertex at point (2,8) and the function passes through point (8,6), what is a,h, and k when written in vertex form if the function is f(x)=a(x-h)^2+k.
Answer by Edwin McCravy(20055) (Show Source):
You can put this solution on YOUR website! If a quadratic function has its vertex at point (2,8) and the function passes through point (8,6), what is a,h, and k when written in vertex form if the function is .
Since it has vertex (h,k) = (2,8),
h = 2 and k = 8. That's 2/3rds of what you asked for! All you
need is "a".
.
Since f(x) is the same as y, let's write it:
.
Since it goes through (8,6) we substitute 8 for x, and 6 for y
Now to check let's draw the graph of
.
Edwin
|
|
|