Question

If f(−4)=1 and g(x)=f(x−3), what point can you determine on the graph of g?

Answer 1

f(-4) = 1 is given , x=-4 and y=f(-4) = 1

Answer 2

you can determine

g(x) = f(x-3) , when x=-1 here, because

g(-1) = f(-1-3) = f(-4) = 1

Answer 3

g(-1) = 1

Answer 4

Okay. That makes sense. Many thanks.

Answer 5

see how that worked?

Answer 6

The only point you know is f(-4), so to get g(x) you need the point where f(-4) is

g(x) = f(x-3) to get f(-4) you have to let x=-1

g(-1) = f(-1-3) = f(-4) = 1