Thread: Need Help on transformations!

So, list the transformations you need to apply to y=x^2 to graph the relation. Then sketch the graph.
a) y= 1/2(x-1)^2+2

I just started my new semester, and i forgot how to solve these equations !

The 1/2 means that the y values will get halved. So in when x =1 y = 1 but in when x=1 , y = 0.5

The (x-1)^2 means that your parabola shifts 1 unit to the right

The +2 means that it moves up 2 unites.

The blue parabola is the transformed one and the red parabola is x^2

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