Question

Graphing Absolute Value Equations

Answer 1

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)

Explanation:

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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