Question

Write an equation for each translation of y=|x| 15.5 units down

Answer 1

y+15.5=|x|
y=|x|-15.5

Answer 2

`y=|x|-15`

Explanation:

The given function is

`y=|x|`

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.

`y=|x|\\y=|x|-15`

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

`y=|x|-15`