# How do you graph #y=-abs(x-1/2)-14#?

##### 1 Answer

Reflected over the

#### Explanation:

graph{-|x-1/2|-14 [-41.15, 39.95, -24.95, 15.58]}

The parent function of the function you are trying to graph is

graph{|x| [-10, 10, -5, 5]}

The function that you are graphing is just a reflection and translation of the parent function.

The standard form of an absolute value function is

As the function you are trying to graph is also in standard form, it is very simple to graph. Because the coefficient

Then you must translate the function as specified. The

*It is important to note that for all transformations of parent functions, you must do any reflections, compression and or stretching before you do any translations or you will end up graphing the equation incorrectly.