Identify the vertex of y=−10(x+15)2−18

Question

.(1 point)
Responses

(15,−18)
left parenthesis 15 comma negative 18 right parenthesis

(−150,−18)
left parenthesis negative 150 comma negative 18 right parenthesis

(−10,−15)
left parenthesis negative 10 comma negative 15 right parenthesis

(−15,−18)

Answer 1

To identify the vertex of the given quadratic function \( y = -10(x + 15)^2 - 18 \), we can recognize that this equation is in vertex form, which is given by \( y = a(x - h)^2 + k \) where \((h, k)\) is the vertex of the parabola.

In this case, we have:

• \( a = -10 \) (affecting the direction and width of the parabola)
• \( h = -15 \) (opposite sign of \( +15 \) in the equation)
• \( k = -18 \)

Thus, the vertex \((h, k)\) of the function is:

\[ (-15, -18) \]

Therefore, the correct response is:

\((−15,−18)\)