Identify the vertex of y=−10(x+15)2−18 .(1 point)

Question

Responses

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

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

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

(−10,−15)

Answer 1

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

In your equation, we can see that:

• The expression \( (x + 15) \) can be rewritten as \( (x - (-15)) \).
• This means \( h = -15 \).
• The constant term outside the square, \(-18\), gives us \( k = -18 \).

Thus, the vertex of the function is \((-15, -18)\).

Therefore, the correct answer is:

(−15,−18)