SOLUTION: what equation would shift the following parabola to the right 5 units f(x)=-7x^2+5?

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Question 167717: what equation would shift the following parabola to the right 5 units f(x)=-7x^2+5?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you replace x with x-5, then the entire parabola will shift 5 units.


f%28x%29=-7x%5E2%2B5 Start with the given equation


f%28x-5%29=-7%28x-5%29%5E2%2B5 Replace x with x-5


f%28x-5%29=-7%28x%5E2-10x%2B25%29%2B5 FOIL


f%28x-5%29=-7x%5E2%2B70x-175%2B5 Distribute


f%28x-5%29=-7x%5E2%2B70x-170 Combine like terms


So the new equation (call it g(x)) that is shifted over 5 units to the right is

g%28x%29=-7x%5E2%2B70x-170