Flashcard 25 - Math Flashcard Set for the SAT Exam

\[f(x) \rightarrow f(x) + 2\]

The general rule for translating a function \(f(x)\) \(a\) units up is \(f(x) + a\). The rule for translating a function \(a\) units down is \(f(x) - a\). So, when a function is translated \(3\) units down, it becomes:

\[f(x) \rightarrow f(x) - 3\]

If you are translating a function \(a\) units left, it becomes \(f(x+a)\). So, when a function is translated \(4\) units left, it becomes:

\[f(x) \rightarrow f(x+4)\]

If you are translating a function \(a\) units right, it becomes \(f(x-a)\). So, when a function is translated \(5\) units right, it becomes:

\[f(x) \rightarrow f(x-5)\]