Question

The point P(5,4) is on the curve y=f(x). State the coordination of the image of P when the graph of y=f(x) is transformed to the graph of i) y= f(x-5) ii) y= f(x) +7

Answer 1

i) you want x-5 = 5, so (10,4). See how that shifts the graph to the right?
ii) well, f(5) = 4, so f(5)+7 = ___