Name: Nouver

Who is asking: Student
Level: Secondary

Question:
If the point P(-3,2) is on the graph of y=f(2x-1), what point must be on y=f(x)-3?

Hi Nouver

Since P(-3,2) is on the graph, the equation y = f(2x-1) must be true when x = -3 and y = 2. Thus 2 = f(2(-3)-1), that is 2 = f(-7). Thus in the second equation, when x = -7, y = f(-7)-3 = 2-3 = -1. Hence (-7,-1) must be on the graph of y = f(x)-3.

Cheers,
Harley