Absolue Value Graph and Reflection

Question

graph the absolute value parent function that has been shifted up 3 units and reflected over the x-axis

Answer 1

The parent function is y = |x|

Shifting up 3 units means we add 3 to the back of the function like this:

y = |x| + 3

Reflecting over the x-axis means we put a negative in front of the function like this:

y = -(|x| + 3)