Question 10(Multiple Choice Worth 1 points)

Question

(02.05 MC)

Write the equation of a function whose parent function, f(x) = x + 6, is shifted 4 units to the right.

g(x) = x − 10
g(x) = x − 4
g(x) = x + 2
g(x) = x + 10

Answer 1

To shift the function \( f(x) = x + 6 \) 4 units to the right, you need to replace \( x \) with \( x - 4 \) in the function.

So the equation becomes:

\[ g(x) = (x - 4) + 6 \] \[ g(x) = x - 4 + 6 \] \[ g(x) = x + 2 \]

Thus, the correct answer is:

g(x) = x + 2.