In this graph, I used the parent

**function**of x to the second power (graphed in the color black). This graph has many**transformations**. They include**vertical****translation****(red) which is when I moved the graph 3 units down (y=x^2-3)****, horizontal****(blue) Which is when I moved the graph 4 units left (y=(x+4)^2)***translation***,**vertical + horizontal translation (green) when I moved the graph 3 units down and 4 units left (y= (x+4)^2-3), vertical**reflection**across the**x-axis**(purple) when I flipped the graph upside down (y= -x^2) , and vertical + horizontal reflection across the x-axis (also black) which flipped the graph (y= -(x+4)^2 +3)upside also. When you perform a reflection across the x-axis the points on the**y-axis**change.
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