Question

Graphing Absolute Value Equations

Answer 1

Answer:

The way I would like to solve this would be by using transformations.  The standard form for transformation is a|b(x-h)|+k.  Here, " - " is the a. Whenever a is < 0, it reflects across x-axis. The opposite sign of C is the value of vertical symmetry.  So, vertical symmetry is, -(-4), which is, 4. (-(c), d ) is how you find the vertex. Here, opposite of c is 4. There is no d so it will be 0. So, the vertex is (4,0)

Step-by-step explanation:

Tip : Hey dudes and dudedas, use the following link to graph the any equations using online calculator. It will make your life, much more easier.

w-w-w desmos  cam / practice

Thank me later.

Note : I disorted the link but I am sure that you are smart enough to find it out or type desmos in google.

Answer 2

One way is to use transformations, so if you did then move the absolute value equation 4 units to the right then reflect it over the x axis

anyway
the vertex is at (4,0)
the line to the left of (4,0) is y=x-4
the line on the right is y=-x+4