Answer the question or provide the appropriate response.Explain how you would solve the following problem graphically. (Do not actually solve the problem.) If a rectangle has perimeter 74 inches, what is the maximum area that it can have? (Let x represent the width of the rectangle.)
A. Graph the function y = -x2 + 37x and find its x-intercepts. The larger x-intercept gives the maximum area (in square inches).
B. Graph the function y = -x2 + 37x and find its vertex. The x-coordinate of the vertex gives the maximum area (in square inches).
C. Graph the function y = -x2 + 37x and find its vertex. The y-coordinate of the vertex gives the maximum area (in square inches).
D. Graph the function y = -x2 + 74x and find its vertex. The y-coordinate of the vertex gives the maximum area (in square inches).
Answer: C
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