how do you rotate a curve ,whether it is a quadratic ,parabolic any type of curve and get the equation of the new/transformed curve,after rotating by x degrees.

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- January 26th 2010, 11:11 AMdynamohow to rotate a curve
how do you rotate a curve ,whether it is a quadratic ,parabolic any type of curve and get the equation of the new/transformed curve,after rotating by x degrees.

- January 27th 2010, 01:55 AMCorum
Are you familier with polar coordinates?

Imagine your equation for the curve. Y=...? in polar coordinates (with x=r cos and y=r sin ) it is expressed in r(distance from origin) and , angle created with oX+. with this it's easy to change to the appropriate angle.

I hope this helps - January 27th 2010, 02:29 AMHallsofIvy
Dynamo, to rotate y= f(x) through angle , around the origin, replace x with and y with .

To rotate y= f(x) through angle , about point , first translate [tex](x_0, y_0) to the origin by subtracting from x and from y, then do the rotation, then translate back.

That is, replace x with and replace y with - January 27th 2010, 04:15 AMdynamo
- January 27th 2010, 04:32 AMdynamothanks