Red: Vertical translation y= |x| + 8

Blue: Horizontal translation y= |x-5|

Green: Vertical + Horizontal translation y= |x-7| - 2

Purple: Reflection over x-axis y= -|x|

Black: y= -|x+10| - 4 Vertical + Horizontal Translation + Reflection over x-axis

1. My starting(parent) equation was y=|x|

2. I performed a vertical translation on graph 1 which shifted the graph up by 8

3. I performed a horizontal translation on graph 1 which shifted the graph to the left by 5

4. I performed a vertical AND horizontal translation on graph 1 which shifted it to the right by 7 and down by 2

5. I performed a reflection over the x-axis on graph 1 which changed all the y values to opposite

6. I performed a vertical AND horizontal translation on graph 1 and also did a reflection over the x-axis which moved the graph down by 4, to the left by 10 and changed the y values to opposite.

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