Question

Part B Using your answer from part A, what is the extreme value of the quadratic function? How can you also use your equation to determine if the extreme value represents a maximum or minimum value? Use complete sentences to explain your reasoning.

Answer 1

Answer: Sample answer: Completing the square allows us to rewrite the function in vertex form. Once in vertex form, a⁢(x−h)2+k, the extreme value of the function is (h,k). So the extreme value of the quadratic function from part A is (2,48). Also, if the a-value of the function in vertex form is positive, then the parabola opens up. Since a has a value of 4, the extreme value (2,48) represents a minimum.