IB Functions Problem 001

The following diagram shows the graph of the function \(f(x)\) for \(-4 \leq x \leq 2\).

Diagram \(A\)

image essential to understanding the question

On the set of axes of diagram \(A\), sketch the graph of \(f(-x)\).

Another function, \(g\), can be written in the form \(g(x) = a \times f(x + b)\).

The following diagram shows the graph of \(g\).

Diagram \(B\)

image essential to understanding the question

From diagram \(B\), write down the value of \(a\) and of \(b\) for the function \(g\).

Published by Annie Bernatchez in «functions». Key Words: IB, question