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

(−2,47)
left parenthesis negative 2 comma 47 right parenthesis

(26,47)

1 answer

The equation given is in vertex form, \(y = a(x - h)^2 + k\), where \((h, k)\) is the vertex.

From the equation \(y = -2(x - 13)^2 + 47\):

  • \(h = 13\)
  • \(k = 47\)

Therefore, the vertex is \((13, 47)\).

The correct response is: (13, 47).