Graph the parabola. $y = - 2 ( x - 2 ) ^ { 2 } - 3$

Name: Graph the parabola. $y = - 2 ( x - 2 ) ^ { 2 } - 3$
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Question

Quizplus · Accepted Answer

The vertex form of a parabola is given by $y=a(x-h)^2+k$, where $(h,k)$ is the vertex. Comparing the given equation to the vertex form, we see that the vertex is $(2,-3)$ and the parabola opens downwards since the coefficient of $(x-h)^2$ is negative. Therefore, the graph of the parabola is a downward facing parabola with vertex at $(2,-3)$. The only choice that matches this is B).

Graph the Parabola y=−2(x−2)2−3y = - 2 ( x - 2 ) ^ { 2 } - 3y=−2(x−2)2−3

Graph the Parabola $y = - 2 ( x - 2 ) ^ { 2 } - 3$