Transformations |f(x)| and f|x| \(\textbf{1)}\) \(f(x)=(x-1)^2-2\) Show |f(x)| Graph of |f(x)| Show f(|x|) Graph of f(|x|) \(\textbf{2)}\) \(f(x)=x-2\) Show |f(x)| Graph of |f(x)| Show f(|x|) Graph of f(|x|) \(\textbf{3)}\) \(f(x)=3 \sin( \frac{x}{4})+1\) Show |f(x)| Graph of |f(x)| Show f(|x|) Graph of f(|x|) \(\textbf{4)}\) \(f(x)=-3\) Show |f(x)| Graph of |f(x)| Show f(|x|) Graph of f(|x|) Helpful Links \(\bullet\)Absolute Value & Functions Graphing Calculator (Desmos) See Related Pages\(\) \(\bullet\text{ Composite Functions}\) \(\,\,\,\,\,\,\,\,(f\circ g)(x)=f(g(x))\) \(\bullet\text{ Inverse Functions and Relations}\) \(\,\,\,\,\,\,\,\,f^{-1}(x)=\frac{x+3}{2}\) \(\bullet\text{ Operations of Functions}\) \(\,\,\,\,\,\,\,\,(f+g)(3)=f(3)+g(3)\)
