Question

I REALLY NEED HELP ON THIS :,(

The vertex of this 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 parabolas equation?

a. 6
b.-6
c. -3
d.3

Answer 1

The equation of parabola is

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

Where vertex is (h,k) .

And it is given that (h,k) =(-4,-1) and when x=2, y=0.

So we get

`2 = a(0+1)^2 -4`

`a = 6`

So the equation of the parabola is

`x=6(y+1)^2-4`

And the coefficient of square term is 6 here.

So the correct option is 6 .