Question

what are the coordinates of the vertex of the parabola described by the equation below?
y = -7(x - 4)^2 - 5
a. (-4, 5)
b. (4, -5)
c. (-5, -4)
d. (5, 4)

Explanation:

Step1: Recall vertex - form of parabola

The vertex - form of a parabola is $y = a(x - h)^2+k$, where $(h,k)$ is the vertex of the parabola.

Step2: Identify h and k values

For the given equation $y=-7(x - 4)^2-5$, comparing it with $y = a(x - h)^2+k$, we have $h = 4$ and $k=-5$.

Answer:

B. $(4, - 5)$