SOLUTION: vertically compress by a factor of 1/2 and translate down by 2 y=x^2

Question 866555: vertically compress by a factor of 1/2 and translate down by 2
y=x^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We start with . That is given to us. This is the parent quadratic function/equation. This is the green graph shown below.

We would then "vertically compress by a factor of 1/2". So we would multiply by 1/2 which "squishes" the graph. This is because every point on the graph is now half as high as it used to be (ex: y = 4 ---> y = (1/2)*4 = 2 )

So we now have . This is the blue graph shown below.

Finally, we "translate down by 2" to get . Visually we are just shifting the entire blue graph 2 units down to get the purple graph.

Below are the graphs of , , and in green, blue and purple respectively.

The sequence of graphs above (all plotted on the same xy axis) shows us how transforms into
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