The function y = f(x - a) + b
is the horizontal translation of the function y = f(x) to the left (a is negative) or to the right (a is positive) by a units and
the vertical translation of the function y = f(x) up (b is positive) or down (b is negative) by b units
In this case,
[tex]\begin{gathered} f(x)=|x| \\ a=-5 \\ b=-3 \end{gathered}[/tex]
Translate the parent function to the left by 5 units and
down by 3 units.
To make the graph y = |x + 5| - 3:
Translate the parent function
.
