Question

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 1

g(x) translates the function f(x) 1 unit left.

Explanation:

Consider the provided function.

g(x)=f(x+1)

Transformation:

Rule 1: The graph of parent function f(x) move up b unit for f(x)+b.

Rule 2: The graph of parent function f(x) move down b unit for f(x)-b.

Rule 3: The graph of parent function f(x) move left b unit for f(x+b).

Rule 4: The graph of parent function f(x) move right b unit for f(x-b).

From the rule 3 we can say that the graph of parent function move left 1 unit for g(x)=f(x+1)

g(x) translates the function f(x) 1 unit left.

Answer 2

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.

Answer: left