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