Asked by Big Jill
Identify the vertex of y = -10 (x+15)^2 - 18
A. (-150, -18)
B. (-10, -15)
C. (15, -18)
D. (-15, -18)
A. (-150, -18)
B. (-10, -15)
C. (15, -18)
D. (-15, -18)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the vertex of the quadratic function \( y = -10 (x+15)^2 - 18 \), we can recognize that the function is in the vertex form of a parabola, which is given by:
\[
y = a(x - h)^2 + k
\]
where \((h, k)\) is the vertex of the parabola.
In your function \( y = -10 (x + 15)^2 - 18 \), we see that:
- The term \( (x + 15) \) can be rewritten as \( (x - (-15)) \), which indicates that \( h = -15 \).
- The constant term at the end is \( -18 \), indicating that \( k = -18 \).
Thus, the vertex of the function is:
\[
(-15, -18)
\]
Therefore, the correct answer is:
**D. (-15, -18)**
\[
y = a(x - h)^2 + k
\]
where \((h, k)\) is the vertex of the parabola.
In your function \( y = -10 (x + 15)^2 - 18 \), we see that:
- The term \( (x + 15) \) can be rewritten as \( (x - (-15)) \), which indicates that \( h = -15 \).
- The constant term at the end is \( -18 \), indicating that \( k = -18 \).
Thus, the vertex of the function is:
\[
(-15, -18)
\]
Therefore, the correct answer is:
**D. (-15, -18)**
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