Answer:
[tex]y=|x|-15[/tex]
Step-by-step explanation:
The given function is
[tex]y=|x|[/tex]
And we want to move it down 15.5 units.
Remember, when we translate functions, we need to pay attention the direction of the movement.
- If we add units to y-variable, we are gonna move the function upwards.
- If we subtract units to y-variable, we are gonna move the function downwards.
So, in this case, we need to subtract 15.5 units, to move the function downwards 15.5 units.
[tex]y=|x|\\y=|x|-15[/tex]
You need to be carefule, if you subtract in side the absolute value, you are gonna be movind the function horizontally.
Therefore, the transformation of the given function is
[tex]y=|x|-15[/tex]
