From the vertex (-5,-2) we know
[tex]y= a (x + 5)^2 -2[/tex]
We solve for a by substituing our other point, (-4,2),
[tex]2 = a(-4+5)^2 - 2[/tex]
[tex]4 = a[/tex]
a=4 is our answer but we can multiply this out if we care to.
[tex]y = 4(x+5)^2 -2 = 4(x^2 + 10x + 25) -2 = 4x^2 + 40x +98[/tex]
Answer: B. 4
