Question
indentify the vertex of y=-10(x+15)^2-18
Answers
GPT-4o mini
To find the vertex of the quadratic function given in vertex form \( y = a(x - h)^2 + k \), we can identify the vertex directly from the equation.
The function provided is:
\[
y = -10(x + 15)^2 - 18
\]
We can rewrite it to match the vertex form:
\[
y = -10(x - (-15))^2 - 18
\]
From this, we can identify:
- \( h = -15 \)
- \( k = -18 \)
Thus, the vertex of the parabola is \( (h, k) = (-15, -18) \).
So, the vertex is:
\[
\boxed{(-15, -18)}
\]
The function provided is:
\[
y = -10(x + 15)^2 - 18
\]
We can rewrite it to match the vertex form:
\[
y = -10(x - (-15))^2 - 18
\]
From this, we can identify:
- \( h = -15 \)
- \( k = -18 \)
Thus, the vertex of the parabola is \( (h, k) = (-15, -18) \).
So, the vertex is:
\[
\boxed{(-15, -18)}
\]