Answer: D. 4
So you know the vertex is at (-5,-2) and there is a point (-4,2). This means you can write it in vertex form.
Vertex form is y= a(x-h)^2 +k
Therefore:
y= a(x+5)^2 -2
Now since you know that plug in the point to find a.
2 = a(-4+5)^2-2
4 = a
So your equation is:
y= 4(x+5)^2 -2
Now you want to know the coefficient of the squared expression. So let’s multiply it out.
y= 4 [(x+5)(x+5)]-2
y= 4(x^2+10x+25)-2
y= 4x^2+40x+100-2
y= 4x^2 + 40x + 98
Therefore your coefficient is 4.
