SOLUTION: if the coefficient of {{{x^2}}} in the function {{{y=-2x^2}}}is multiplied by 2 how is the graph of {{{y=-2x^2}}} affected?

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Question 133834: if the coefficient of x%5E2 in the function y=-2x%5E2is multiplied by 2 how is the graph of y=-2x%5E2 affected?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let f%28x%29=y=-2x%5E2 and let g%28x%29=-4x%5E2, since g%28x%29=2%2Af%28x%29, we can see that for every x except x=0, the magnitude of the value of g%28x%29 will be twice that of the magnitude of f%28x%29. x=0 is excluded because g%280%29=f%280%29

Since the lead coefficient in each function is less than zero, the parabolas will be concave down, but g%28x%29 will make a steeper but narrower hill.


The green graph is g%28x%29