1.Describe the transformations applied to the graph y=x to obtain the graph of each quadratic relation.

a.y = 2(x+3)

b.y = -3(x+7)-14

c.y = -(x-3)+15

d.y = -3x+4

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

e.

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)-4

4.Sketch the following graphs using pencil and paper or technology (such asdesmos)

a.y = (x-2)-1

b.y = -1(x-3)+2