CH P Graphing Functions by Daniel

The function of this graph is Y=X^2 and our goal is to move it to different spot through translation and reflections which causes transformation in the graph.

1) The Vertical Translation is to move the Y=X^2 function vertically by adding a number. My graph shows Y=X^2+4

2) The Horizontal Translation is to move the Y=X^2 function horizontally by placing X in parentheses together with a number. My graph shows Y=(X-3)^2

3) The Vertical and Horizontal Translation is to move the Y=X^2 function both horizontally and vertically by putting step 1 and step 2 together which gives you Y=(X-3)^2+4

4) The Horizontal Reflection is formed when the function gets flipped around through the y-axis and gives us Y=(-X)^2

5) The Vertical Reflection is formed when the function gets flipped around through the x-axis and gives us Y=-X^2-2

6) The Vertical and Horizontal Translation plus Vertical Reflection is when Step 1,2 and 5 is added together and that gives us Y=-(X-6)^2-2