Transformation of functions questions and answers

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

g is related to one of the parent functions. Describe the sequence of transformations from f to g.

$g(x)=2-(x+5{)}^2$

${\displaystyle f\left(x\right)=9,\text{if}x\le -4,\text{and}f\left(x\right)=ax+b,\text{if}-4<x<5,\text{and}f\left(x\right)=-9,\text{if}x\ge 5,}$
Find the constants, if the function is continuous on the entire line.

Given:
${\displaystyle \frac{m}{8}=\frac{15}{24}}$
Is ${\displaystyle 8\times m=25\times 15}$ true or false? Correct if false. Find m.

Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f (x).

$\begin{array}{|cccccc|}\hline x& -2& -1& 0& 1& 2\\ f(x)& -1& -3& 4& 2& 1\\ \hline\end{array}$

$\begin{array}{|cccccc|}\hline x& -3& -2& -1& 0& 1\\ g(x)& -1& -3& 4& 2& 1\\ \hline\end{array}$

$\begin{array}{|cccccc|}\hline x& -2& -1& 0& 1& 2\\ h(x)& -2& -4& 3& 1& 0\\ \hline\end{array}$

Sketch a graph of the function. Use transformations of functions whenever possible.
$f(x)=\{\begin{array}{lll}1-x& if& x<0\\ 1& if& x\ge 0\end{array}$