Question

Question 3 (Multiple Choice Worth 1 points)

(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Og(x) = x - 6
O g(x) = x -
11111
x
0
|
+ III
x
M
|
x
M
O g(x) = x + 2
|
O g(x) = x + 6

Answer 1

`g(x) = x + 6`

Explanation:

The parent function is given as:

`f(x) = x + 8`

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

`g(x) = f(x - 2)`

We replace x by x-2 in f(x) to get:

`g(x) = x - 2 + 8`

When we simplify, we obtain:

`g(x) = x + 6`