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.
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
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