Algebra preparation
Question
This is a graded exercise. Please make sure to follow the instructions carefully, as an evaluator will be giving you feedback on your submission.
This graded assignment consists of three parts and uses the quadratic equation: x^2 – 18x + 72 = 0
Part a.
1. Graph the quadratic equation and:
a. Label and include the ordered pair for the vertex on the graph. Show all of your work for how you found the vertex.
b. Label and include the ordered pair(s) for the x–intercepts on the graph. Show all of your work for how you found the x-intercepts.
c. How are the solutions identified from the graph?
Part b.
1. Solve the quadratic equation by using the “completing the square” method. Show all your work.
2. What do you notice about the answer you found here and where the x-intercepts of the graph are in part a?
Part c.
1. Solve the quadratic equation by using the quadratic formula. Show all your work.
2. Compare your answer to what you found in part a and b. What do you notice about the answers?
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