It is A because if you do your seven step process it will be A
It’s kinda blurry I can barely even see it can you upload that worksheet again so I can do it.
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
In the interval from x=-1 to x=2, x increases by 3. In that same interval, y increases by 6 from -3 to +3. The average rate of change is
.. average rate of change = (increase in y)/(increase in x) = 6/3 = 2
The average rate of change is 2 over the given interval.
