Question

Identify the vertex of y=−2(x−13)2+47
.(1 point)
Responses

(−13,47)
left parenthesis negative 13 comma 47 right parenthesis

(26,47)
left parenthesis 26 comma 47 right parenthesis

(13,47)
left parenthesis 13 comma 47 right parenthesis

(−2,47)

Answer 1

To identify the vertex of the quadratic function \( y = -2(x - 13)^2 + 47 \), we can use the vertex form of a quadratic equation, which is:

\[
y = a(x - h)^2 + k
\]

where \( (h, k) \) is the vertex of the parabola.

In this case, comparing it to the standard vertex form:

- \( a = -2 \)
- \( h = 13 \)
- \( k = 47 \)

Thus, the vertex is given by:

\[
(h, k) = (13, 47)
\]

So, the correct response is:

**(13, 47)**