Question

Suppose you know the graph of f contains the point (2,3). If g(x)=f(x+5), what point must be on the graph of g? Possible answers: (7,2), (2,-2), (-3,3), (3,2), (2,8)

Answer 1

Is it (2,8)?

Answer 2

when x + 5 = 2 you know x = -3 right?

Answer 3

in other words solve
\[x+5=2\] gives
\[x=-3\] so
\[g(-3)=f(-3+5)=f(2)=3\] telling you that
\[(-3,3)\] is on the graph of g

Answer 4

Oooh okay thanks!

Answer 5

yw