itomath.com
Ito | Mathematics
IGCSE
IB Math AA SL
IB Math AA HL
Challenges
Transformations of Functions
$f(x)\rightarrow f(x)+b$
$f(x)\rightarrow f(x-a)$
$f(x)\rightarrow pf(x)$
$f(x)\rightarrow f(qx)$
$f(x)\rightarrow -f(x)$
$f(x)\rightarrow f(-x)$
The Order of Transformations
Given the function $f\left(x\right)=\ln x$, describe the transformations needed to get the graph of $g\left(x\right)=\ln \left(4x^2+4x+1\right)$
Translate $f\left(x\right)$ to the left by