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Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12.  a) Without graphing, can you explain how the graphs of the functions compare?                                                   b) Will the graphs have the same x-intercepts? Explain. c) Will the graphs have the same vertex?

Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12.  a) Without graphing, can you explain how the graphs of the functions compare?                                                   b) Will the graphs have the same x-intercepts? Explain. c) Will the graphs have the same vertex?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12. 
a) Without graphing, can you explain how the graphs of the functions compare?                                                  

b) Will the graphs have the same x-intercepts? Explain.

c) Will the graphs have the same vertex?

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