Features of Graphs of Quadratic Equations Quick Check

Question

3 of 53 of 5 Items
Question
Identify the vertex of y=−10(x+15)2−18.(1 point)
Responses

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

(−15,−18)
left parenthesis negative 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
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Answer 1

To identify the vertex of the quadratic equation in vertex form \( y = a(x - h)^2 + k \), we need to rewrite the given equation, \( y = -10(x + 15)^2 - 18 \), in the appropriate format.

In this case:

• The equation is structured as \( y = a(x - h)^2 + k \),
• Here, \( a = -10 \),
• \( (x + 15) \) can be rewritten as \( (x - (-15)) \) so \( h = -15 \),
• The value of \( k = -18 \).

Therefore, the vertex is at the point \( (h, k) = (-15, -18) \).

The correct response is:

(−15,−18)