The vertex form of a quadratic function is f(x) = a(x-h)2 + k. What is the vertex of each function?
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Answer:
see below
Step-by-step explanation:
f(x) = a(x-h)^2 + k
Where (h,k) is the vertex
f(x) = 9(x-5)^2 + 6. has a vertex of (5,6)
f(x) = 6(x- -9)^2 + -5 has a vertex of (-9, -5)
f(x) = 9(x- -5)^2 + -6 has a vertex of (-5, -6)
f(x) = 5(x- 6)^2 + 9 has a vertex of (6, 9)
f(x) = 6(x- 5)^2 + -9 has a vertex of (5, -9)
Answer:
1) (5,6)
2) (-9,-5)
3) (-5,-6)
4) (6,9)
5) (5,-9)
Step-by-step explanation:
In a(x- h)² + k
Vertex is (h,k)
For h:
Equate the square bracket to 0
(x - h) = 0
x = h
For k:
Just pick the constant outside the square