Question 241612: 4) Use the graph of y = x2 – 6x to answer the following:
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:
b) Does this function have a maximum or a minimum?
Answer:
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?
Answer:
d) What are the coordinates of the vertex in (x, y) form?
Answer:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Use the graph of y = x2 – 6x to answer the following:
Do you have the graph?
a) Without solving the equation (or factoring), determine the solutions to the equation x2 – 6x = 0 using only the graph.
x = 0
x = 6
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Answer:
Explain how you obtain your answer(s) by looking at the graph: That's where it crosses the x-axis, or where the function is zero (y = 0).
b) Does this function have a maximum or a minimum?
Answer: Yes
Explain how you obtain your answer by looking at the graph: There's a low point, and it's the minimum value of y.
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c) What is the equation of the line (axis) of symmetry for this graph?
Answer: x = 3
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d) What are the coordinates of the vertex in (x, y) form?
Answer: (3,-9)
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