Question

Given that (9,-8) is on the graph of f(x), findthe corresponding point for the functionf(x - 2).Enter the correct answer.0000 CDONEClear allDOO

Answer 1

(7,-8)

1) Considering that f(x-2) is a transformation of f(x). Precisely, a horizontal translation to the right.

2) So, we can write out the following:

`\begin{gathered} f(x)=x \\ f(9)=-8 \\ \\ f(x-2)=x \\ f(9-2)=-8 \\ f(7)=-8 \end{gathered}`

Note that a horizontal translation just "pushes to the right". So there was no vertical shift.

3) Hence, the answer is (7,-8)