# Investigating a Quadratic Function from its Graph

Use the graph of y = x^2 - 6x to answer the following (Please view the attachment):

a) Without solving the equation (or factoring), determine the solutions to the equation x^2 - 6x = 0 using only the graph. Explain how you obtain your answer(s) by looking at the graph.

b) Does this function have a maximum or a minimum? Explain how you obtain your answer by looking at the graph.

c) What is the equation of the line (axis) of symmetry for this graph?

d) What are the coordinates of the vertex in (x, y) form?

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#### Solution Preview

a) Without solving the equation (or factoring), determine the solutions to the equation x^2 - 6x = 0 using only the graph.

Answer: x = 0 and x = 6

Explain how you obtain your answer(s) by looking at the graph: The above equation represents the ...

#### Solution Summary

This equation clearly illustrates in about 180 words how to determine various characteristics of the given quadratic function.