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

Step-by-step explanation:

The parent function is given as:

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

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

When we simplify, we obtain:

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)