Question

Find the vertex of the parabola that represents the function f left parenthesis x right parenthesis equals left parenthesis x minus 5 right parenthesis squared plus 9.
(1 point)
Responses

left parenthesis 5 comma 9 right parenthesis
Image with alt text: left parenthesis 5 comma 9 right parenthesis

left parenthesis 0 comma 0 right parenthesis
Image with alt text: left parenthesis 0 comma 0 right parenthesis

left parenthesis negative 5 comma 9 right parenthesis
Image with alt text: left parenthesis negative 5 comma 9 right parenthesis

left parenthesis negative 5 comma negative 9 right parenthesis
Image with alt text: left parenthesis negative 5 comma negative 9 right parenthesis

Answer 1

The vertex form of a parabola is given by f(x) = (x - h)^2 + k, where (h, k) represents the vertex of the parabola.

In this case, f(x) = (x - 5)^2 + 9.

Comparing this with the vertex form, we can see that the vertex is located at (h, k) = (5, 9).

Therefore, the correct response is:

(5, 9)