Question

What is the vertex of each function? Match the function

The vertex form of a quadratic function is f(x) =
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(5.-9)

Answer 1

The vertex of the quadratic function
`f(x) = 9(x + 5)^2 - 6` is (-5, -6), which can be determined by comparing it to the standard vertex form
`f(x) = a(x - h)^2 + k.`

Step-by-step explanation:

The vertex of a quadratic function in vertex form, which is
`f(x) = a(x - h)^2 + k`, is given by the point (h, k). The given function
`f(x) = 9(x + 5)^2 - 6` is already in vertex form. By comparing this to the standard vertex form, we can see that h is -5 and k is -6. Therefore, the vertex of the function is (-5, -6), which does not match the provided coordinate (5, -9).