Math
posted by Kevin on .
Describe transformations of f(x)=f(2x)

suppose we use an example:
e.g.
f(x) = (x5)^2 + 3 , which is a parabola with vertex (5,3), opening upwards
f(2x) = (2x  5)^2 + 3
f(2x) = (x  3)^2 + 3
f(2x) = (x+3)^2 + 3 , (just like (9)^2 = 9^2 )
f(2x) = (x+3)^2  3
so we have a reflection in the xaxis, and a horizontal shift of 8 units to the left
http://www.wolframalpha.com/input/?i=plot+y+%3D+(x5)%5E2+%2B+3
http://www.wolframalpha.com/input/?i=plot+y+%3D+(x%2B3)%5E2++3