Answer and show your work:

1. Describe the transformations applied to the graph y=x to obtain the graph of each quadratic relation. a. y = 2(x+3)+4 b. y = 2(x+3)= C. y = -3(x+7)2-14 d. y = -(x-3)+15 e. y = -3x2+4 f. y = -2(x+9)= 2. Write a possible equation given the following properties: a. The graph is reflected about the vertex. b. The graph shifts left 5 units c. The graph shifts up 10 units d. The graph stretches by a factor 3 3. Without graphing, tell how many times the graph will touch the x-axis. (i.e. how many roots are there? Think about what the sketch would look like and how many times the graph would cross the x-axis.) a. y = (x+3) b. y = (x+3)+4 C. y = (x-3)2-4 4. Sketch the following graphs. a. y = (x-2)=-1 b. y = 2(x-3)+5 C. y = -1(x-3)+2