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# Question 10 (Essay Worth 8 points) [9.01], [9.02] Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to...

Question 10 (Essay Worth 8 points)

[9.01], [9.02]

Part 1: Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.
x2 − 16 = 0 and x2 = −2x + 24

Part 2: Using complete sentences, compare and contrast the graphs of y = x2 − 16 and y + x2 = −2x + 24.

Question 11 (Essay Worth 8 points)

[9.01], [9.02]

Part 1: Given y = x2 − 14x + 24 determine the following. Use complete sentences and show all work to receive full credit.

Does the graph open up or down? How do you know?
Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph.
Part 2: Create your own unique quadratic equation in the form y = ax2 + bx + c that opens the same direction and shares one of the x-intercepts of the graph of y = x2 − 14x + 24. Determine the following. Use complete sentences and show all work to receive full credit.

Explain whether the graph has a maximum or minimum point.
Find the vertex and x-intercepts of the graph.

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