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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

Respuesta :

kudzordzifrancis

Answer:

[tex]g(x) = x + 6[/tex]

Step-by-step explanation:

The parent function is given as:

[tex]f(x) = x + 8[/tex]

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

[tex]g(x) = f(x - 2)[/tex]

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

[tex]g(x) = x - 2 + 8[/tex]

When we simplify, we obtain:

[tex]g(x) = x + 6[/tex]

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