SOLUTION: Let f(x) = a(x-h)^2+k. The vertex of the graph of f is at (2,3) and the graph passes through (1,7). a. Write down the value of h and of k. (For this part I got h=2 and k=3) I'm

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Let f(x) = a(x-h)^2+k. The vertex of the graph of f is at (2,3) and the graph passes through (1,7). a. Write down the value of h and of k. (For this part I got h=2 and k=3) I'm      Log On


   

Question 1094289: Let f(x) = a(x-h)^2+k. The vertex of the graph of f is at (2,3) and the graph passes through (1,7).
a. Write down the value of h and of k.
(For this part I got h=2 and k=3) I'm not sure if that's correct.
b. Find the value of a.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Your h and k are correct.

a%28x-2%29%5E2%2B3=y
a%28x-2%29%5E2=y-3
a=%28y-3%29%2F%28x-2%29%5E2
known point (1,7)
a=%287-3%29%2F%281-2%29%5E2
a=4%2F1
highlight_green%28a=4%29