Question

given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)

Answer 1

The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)

(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4

(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

The corresponding point for the fuction f(x -4) is (-4,-7)