Answer
(a)
$f(x)=\frac{3}{4}(x-4)$
(b)
$\begin{array}{ccc}
\\x &f(x)
\\-4 &-6
\\0 &-3
\\4 &0
\\8 &3
\end{array}$
(c) Refer to the attached image below for the graph.
Work Step by Step
(a) Algebraic Representation
Subtract 4 from the input, where the input is $x$, means $x-4$.
Thus, the algebraic representation of the function is:
$f(x)=\frac{3}{4}(x-4)$
(b) Numerical Representation
Create a table of values to have:
$\begin{array}{ccc}
\\-4 &-6
\\0 &-3
\\4 &0
\\8 &3
\end{array}$
(c) Graphical Representation
Plot each ordered pair in the table of part (b), then connect the points using a line. (Refer to the attached image below for the graph.)