Question

Question

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

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

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

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

(−2,47)
left parenthesis negative 2 comma 47 right parenthesis
Remaining Attempts : 3
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Answer 1

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

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

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

From the given equation:

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

Thus, the vertex of the parabola is:

\((h, k) = (13, 47)\).

Therefore, the correct response is:

(13, 47)