1. Use graphing technology to graph each equation. Describe how each graph changes from the graph before and draw a sketch of the change. 

   equation	description of change	sketch of graph
   	original graph	Parabola in the x y plane. Horizontal axis scale negative 4 to 10 by 1s. Vertical axis scale negative 4 to 8. Parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2.
   		Parabola in the x y plane. Horizontal axis scale negative 4 to 10 by 1s. Vertical axis scale negative 4 to 8. Parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2.
   		Parabola in the x y plane. Horizontal axis scale negative 4 to 10 by 1s. Vertical axis scale negative 4 to 8. Parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2.

2. Describe the change in the given sketch and write an equation that you think would generate that change.

   equation	description of change	sketch of graph
   	original graph	Parabola in the x y plane. Horizontal axis scale negative 7 to 7 by 1s. Vertical axis scale negative 7 to 12. Parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2.
   		Two parabolas in the x y plane. Horizontal axis scale negative 7 to 7 by 1s. Vertical axis scale negative 7 to 12. A black parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2. A blue parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points 2 comma 8 and negative 2 comma 8.
   		Three parabolas in the x y plane. Horizontal axis scale negative 7 to 7 by 1s. Vertical axis scale negative 7 to 12. A black parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points negative 2 comma 2 and 2 comma 2. A blue parabola has a vertex minimum at 0 comma 0, opens up. It passes through the points 2 comma 8 and negative 2 comma 8. A red parabola has a vertex minimum at 0 comma negative 3, opens up. It passes through the points negative 2 comma 5 and 2 comma 5.

3. How would the graph of compare to the graph of ?

Let’s call the graph of “the original graph.”

Select the function that will affect the original graph in the way described.