Given
[tex]h(y)=4|y+2|-3[/tex]For y=-8
The function has absolute values, this means that is V shaped.
It is defined for Y, this means that it opens vertically.
From the equation, that is written in vertex form, we can determine that the coordinates of its vertex is (-3,-2)
And the coefficient that multiplies the absolute term is positive, which indicates that the function opens to the right (+ infinite)
To calculate h(-8) you have to replace the formula with y=-8
[tex]\begin{gathered} h(-8)=4|-8+2|-3 \\ h(-8)=4|-6|-3 \\ h(-8)=4\cdot6-3 \\ h(-8)=24-3 \\ h(-8)=21 \end{gathered}[/tex]