Identify the vertex of y=−2(x−13)2+47 .(1 point) Responses (13,47) left parenthesis 13 comma 47 right parenthesis (−2,47) left parenthesis negative 2 comma 47 right parenthesis (−13,47) left parenthesis negative 13 comma 47 right parenthesis (26,47)

Answer 1

To identify the vertex of the quadratic equation \( y = -2(x - 13)^2 + 47 \), we can use the standard form of a quadratic equation, which is \( y = a(x - h)^2 + k \). In this form, the vertex \( (h, k) \) can be directly identified.

Here, we have:

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

Thus, the vertex of the parabola is \( (h, k) = (13, 47) \).

The correct answer is \( (13, 47) \).