Question

The vertex of the parabola is at (-4,-1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?

A. 6
B.-6
C.-3
D.3

Answer 1

The vertex equation for a parabola with vertex (h, k) is \[y = a(x-h)^2+k\]

Answer 2

Using the given vertex (-4, -1), \[y = a(x+4)^2-1\]

Answer 3

Do you agree?

Answer 4

Plug in (2, 0) into the parabola equation to solve for a.

Answer 5

Thanks

Answer 6

So would it be 6?

Answer 7

\[0 = a(2+4)^2-1 = 36a - 1\]

Answer 8

\[36a = 1\]