Question

Yoni plans to make a rectangular pizza with a cheese-filled crust around the edge. He has 64 inches of cheese-filled crust to go around the edge of the pizza. He determines that if the pizza has a width of w inches, then the area of the the pizza A(w), in square inches, is given by the following function.

A(w)=32w-w^2

Answer 1

C. -(w -16)² +256

Explanation:

You want the vertex form of the function A(w) = 32w -w².

Vertex form

We can factor out the leading coefficient, then "complete the square."

A(w) = -(w² -32w)

The square is completed by adding and subtracting (32/2)² = 256.

A(w) = -(w² -32w +256) +256

A(w) = -(w -16)² +256 . . . . . matches C

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