This week, we learned how to graph absolute values. Since absolute values mean the positive of the number, all numbers under 0 were reflected upwards.

Originally, this graph crossed -2 and went further down, since it is the absolute value, all the negative y values reflect to the positive.

So, we can say y = -2x -4 if x≤-2 and y = -(-2x -4) (the other possibility for an absolute value) if x>-2

the original line has an equal to because it includes the critical point of the middle point, whereas the reflected line does not include that number.

There is a certain part of the parabola that is reflected upwards. We can say that y = (x-4)² -5 if x≤1.8 and x≥6.2 and y=-((x-4)² -5) is 1.8<x<6.2