Question

What is the difference between identifying a parabola, ellipse, hyperbola, and a circle?

Answer 1

Difference between identifying a parabola, ellipse, hyperbola, and a circle.

Parabola		${\left(y-k\right)}^2=4a\left(x-h\right)$
Ellipse		$\frac{{\left(x-h\right)}^2}{a^2}+\frac{{\left(y-k\right)}^2}{b^2}=1$
Hyperbola		$\frac{{\left(x-h\right)}^2}{a^2}-\frac{{\left(y-k\right)}^2}{b^2}=1$
Circle		${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$