If g(x)=f(x+1), then g(x) translates the function f(x) 1 unit _[blank]_.

which word correctly fills in the blank?

down
left
right
up

ANSWER

Left

EXPLANATION

The given function is

g(x)=f(x+1)

This means that the base function is:

f(x).

The translation f(x+k) will shift the graph to left by k units while f(x-k) will shift the graph to right by k units

Therefore if g(x)=f(x+1) translates the function f(x) 1 unit left.

left

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.