Question
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
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
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