SOLUTION: Without graphing, determine whether the following paraholas opens upward or downward and find the vertex. g(x)=-4(x+1)^2+8 I know it opens downward and the vertex

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Question 328372: Without graphing, determine whether the following paraholas opens upward or
downward and find the vertex.
g(x)=-4(x+1)^2+8

I know it opens downward and the vertex is (-1,8) I just don't know how it was
found. Can you please help.

Thanks

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
It opens downward because the coefficient is negative (-4).
.
.
.
It's in vertex form where (h,k) is the vertex.
If the parabola opens upwards, the vertex y coordinate is the minimum y value.
If the parabola opens downwards, the vertex y coordinate is the maximum y value.
In this case,
.
.
.

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