Identify the vertex of y=4(x−25)2−61 .(1 point) Responses (25,−61) left parenthesis 25 comma negative 61 right parenthesis (4,−25) left parenthesis 4 comma negative 25 right parenthesis (−25,−61) left parenthesis negative 25 comma negative 61 right parenthesis (−100,−61)

Answer 1

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

From the equation \( y = 4(x - 25)^2 - 61 \), we can identify that:

• \( h = 25 \)
• \( k = -61 \)

Therefore, the vertex of the parabola is \((25, -61)\).

The correct response is \( (25, -61) \).