Which graph from choices A − D A-D matches the quadratic equation below. h ( x ) = − ( x − 3 ) 2 + 2 h(x)=-(x-3)^2+2

For this problem, we need to match this quadratic with one of these four graphs. So to do that, let's take a look at the vertex. We know that the vertex for a quadratic x squared is at zero comma zero so let's take a look at what shifts are happening for our function h of x we have a shift here to the right three since our h value is positive and we have a shift up two since our k value is positive, which means the vertex for h of x is going to be at three comma two since our point zero zero is going to shift right three and up two. So where is that on our graph? Three two is right here, making option c the correct choice.

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Multiple Choice

Which graph from choices $A - D$ matches the quadratic equation below.
$h (x) = - (x - 3)^{2} + 2$

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Which graph from choices A−DA-D matches the quadratic equation below.h(x)=−(x−3)2+2 h(x)=-(x-3)^2+2

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Which graph from choices $A - D$ matches the quadratic equation below.
$h (x) = - (x - 3)^{2} + 2$