Can you identify the locator point of this function?
y=-2|x+3|+4
Practice makes perfect
We want to write the equation of the absolute value function. To do so, let's first recall the general equation of
this type of functions.
y= a|x- h|+k
In this form, ( h,k) is the locator point of the function. Let's try to identify the locator point using the graph.
The locator point is (-3,4). We can use these values to partially write our equation.
y= a|x-( -3)|+4 ⇒ y=a|x+3|+4
Finally, to find the value of a, we will substitute any point that lies on the function into the above equation. Let's try with (0,-2).