Finding the Canonical Form of a Parabola

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We wish to place the parabola 9x^2+16y^2+24xy+22x+46y+9=0 such that its vertex is at the origin an its focus is on the positive x-axis. We first create the parabola, and then translate it to the origin with a vector. Then we rotate it so that it is horizontally oriented and find the resulting equation.

Expressions

Name Input
Parabola Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image