How do i graph absolute value function with x^2?
f(x) = |x^2 - 2|
What happens or how does it move if changing f(x)m for example - f(x), f(x+3), f(x) + 3 ??
Anybody who knows a good website that explains this?
Thanks
To plot the modulus of a function reflect any negative part of f(x) in the x axis.
In your example reflect the portion between $\displaystyle (-\sqrt{2},0) \text{ and } (\sqrt{2},0})$ in the y axis
$\displaystyle |f(x)|+a$ is moving the graph by a on the y axis. It can go negative if a is sufficiently negative
$\displaystyle |f(x+h)|$ is a translation of f|x| on the x axis.
$\displaystyle a|f(x)|$ can be +ve or -ve depending on the value of a.
For example $\displaystyle -|f(x)| \leq 0$
edit: for your example see these wolfram alpha plots