Question

If the graph of f(x) = 5x is shifted 8 units to the left, then what would be the equation of the new graph?

Answer 1

The equation of the new graph would be f(x+8) = 5x + 8

Explanation:

Given:

f(x) = 5x

Graph is shifted 8 units to the left

Points on the graph of  y  =  f ( x )  are of the form  ( x ,  f ( x ) )

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left.

Thus,

f(x+8) = 5x + 8

The equation of the new graph would be f(x+8) = 5x + 8