jmc

Question

Given that the point (9,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y=f(2x)2+2. What is the sum of coordinates of that point?

Accepted Answer

Since (9,7) is on the graph of y=f(x), we know 7=f(9).If we substitute x=92 into 2y=f(2x)2+2 we get 2y=f(29/2)2+2=72+2=112.Therefore (x,y)=(92,114) is on the graph of 2y=f(2x)2+2.The sum of these coordinates is 92+114=294.