Question

question 8 (1 point)
(02.05 mc)
write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
a g(x) = x - 6
b g(x) = x - 2
c g(x) = x + 2
d g(x) = x + 6

Explanation:

Step1: Recall horizontal - shift rule

For a function \(y = f(x)\), shifting it \(h\) units to the right gives \(y=f(x - h)\).

Step2: Identify \(h\) and the parent function

The parent function is \(f(x)=x + 8\) and \(h = 2\). So the new function \(g(x)=f(x - 2)\).

Step3: Substitute \(x-2\) into the parent function

\(g(x)=(x - 2)+8=x+6\).

Answer:

D. \(g(x)=x + 6\)