Question

The vertex of this parabola is at (-5, -2). When the x-value is -4, the

y-value is 2. What is the coefficient of the squared expression in the parabola's equation?




A.
1



B.
-1



C.
5



D.
4

Answer 1

I am pretty sure that it's
A. 1

Answer 2

Standard form of a parabola is (y-k) =a(x-h)² or y= a(x-h)² +k

The vertex of a parabola is v(h,k).

We have already h & k ( given) ==>v(-5, -2), we still have to calculate "a", the coefficient of the squared expression:
1st info: replace h & k by their respective values: y=a(x+5)² -2
2nd info: when x= -4, y= 2. Replace y & x in the above equation so that to find a: 2 =a(-4 + 5)² -2==> 2=a(1)² - 2==> a=4 coef. of sqaared expression