What y equals when x= -4 and when x= 6

Evaluating a function means finding the value of the function that corresponds to a given value of x. To do this, simply replace all the x variables with whatever x has been assigned.
Evaluating our function at x = -4 and x = 6, we have:
[tex]\begin{gathered} y(-4)=\frac{1}{4}(-4)^2-2=4-2=2 \\ y(6)=\frac{1}{4}(6)^2-2=\frac{36}{4}-2=9-2=7 \end{gathered}[/tex]and those are our answers.
[tex]\begin{gathered} x=-4,\:y=2 \\ x=6,\:y=7 \end{gathered}[/tex]