Begin by graphing f(x)=2^{2} Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g(x)=2^{-x}

Write an equation in terms of x and y for the function that is described by the given characteristics. A sine curve with a period of $\pi$, an amplitude of 3, a right phase shift of $\frac{\pi }{2}$, and a vertical translation up 2 units.

If $f(x)=x+4$ and ${\displaystyle g\left(x\right)=4x²}$, find $(f+g)(x)$ and $(f+g)(2)$.

${\displaystyle f\left(x\right)=2x}$
${\displaystyle \frac{f(x+\mathrm{△}x)-f\left(x\right)}{\mathrm{△}}x}$

Find the linear equations that can be used to convert an (x, y) equation to a (x, v) equation using the given angle of rotation θ. $\theta ={\tan }^{-1}(5/12)$