SOLUTION: a) Without solving the equation (or factoring), determine the solutions to the equation x2 – 6x = 0 using only the graph. Answer: Explain how you obtain your answer(s) by looking

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Question 632260: a) Without solving the equation (or factoring), determine the solutions to the
equation x2 – 6x = 0 using only the graph. Answer: Explain how you obtain your answer(s) by looking at the graph in a brief sentence:
b) Does this function have a maximum or a minimum? Answer: Explain how you obtain your answer by looking at the graph in a brief sentence:
c) What are the coordinates of the vertex in (x, y) form? Answer:
d) What is the equation of the axis of symmetry for this parabola?
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=36 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, 0. Here's your graph:

b. The function has a minimum value because it opens upward and has a lowest point.
c. The vertex (lowest point) is (3,-9).
c. The axis of symmetry is x = 3.
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