Identify the vertex of y = -10(x + 15)^2 - 18.
A. (15, -18)
B. (-10, -15)
C. (-150, -18)
D. (-15,-18)
The given equation is in vertex form, which is y = a(x - h)^2 + k.
Comparing this with the given equation y = -10(x + 15)^2 - 18, we can see that the vertex is (-15, -18).
Therefore, the correct option is D. (-15,-18).
To identify the vertex of the equation y = -10(x + 15)^2 - 18, we need to convert the equation into vertex form, which is given by y = a(x - h)^2 + k.
Comparing the given equation with the vertex form, we have:
a = -10
h = -15
k = -18
Therefore, the vertex of the equation is (h, k), which is (-15, -18).
The correct answer is D. (-15, -18).
To identify the vertex of the given equation, y = -10(x + 15)^2 - 18, we can use the vertex form of a quadratic equation, which is y = a(x - h)^2 + k. In this form, the vertex is represented by the coordinates (h, k).
In the given equation, y = -10(x + 15)^2 - 18, we can see that a = -10, h = -15, and k = -18.
Therefore, the coordinates of the vertex are (-15, -18).
So, the correct option is D. (-15, -18).