Identify the vertex of y=4(x−25)2−61 .(1 point) Responses (25, -61) (25, -61) (4, -25) (4, -25) (-25, -61) (-25, -61)

Answer 1

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

In this case, the equation is:

\[ y = 4(x - 25)^2 - 61 \]

From this, we can identify:

• \( h = 25 \)
• \( k = -61 \)

Thus, the vertex is:

\((h, k) = (25, -61)\).

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