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Will make brain list Please help me with this homework assignment ASAP!!!!!!!!!!!!!!!Please explain the whole thing step by step

Will make brain list Please help me with this homework assignment ASAP!!!!!!!!!!!!!!!Please-example-1

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A parabola can be expressed in vertex form as follows


y=a(x-h)^2+k

Where (h,k) is the vertex of the parabola, and a is the coefficient, if a is negative, it means the parabola is opening downside (like this case).

According to the given graph, the vertex is at (2,4), which means h=2 and k=4. Also, a is negative since the parabola is towards the downside.

Therefore, the equation is


y=-(x-2)^2+4

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