Question 167717
If you replace x with {{{x-5}}}, then the entire parabola will shift 5 units. 



{{{f(x)=-7x^2+5}}} Start with the given equation



{{{f(x-5)=-7(x-5)^2+5}}} Replace x with {{{x-5}}}



{{{f(x-5)=-7(x^2-10x+25)+5}}} FOIL



{{{f(x-5)=-7x^2+70x-175+5}}} Distribute



{{{f(x-5)=-7x^2+70x-170}}} Combine like terms



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


{{{g(x)=-7x^2+70x-170}}}