Question

The vertex of this parabola is at (-2,-3). When the x-value is -1, the

yvalue is -5. What is the coefficient of the squared expression in the
parabola's equation?
A.-2
B.8
C.2
D.-8

Answer 1

Answer: We know that the vertex form of the equation of a parabola is given by:

y = a(x - h)^2 + k

where (h, k) is the vertex. We are told that the vertex is (-2, -3), so we have:

y = a(x - (-2))^2 - 3

Simplifying, we get:

y = a(x + 2)^2 - 3

We are also told that when x = -1, y = -5. Substituting these values into the equation, we get:

-5 = a(-1 + 2)^2 - 3

-5 = a - 3

a = -2

Therefore, the coefficient of the squared expression in the parabola's equation is -2. The answer is (A).

Explanation: