Conics

Only 1 variable squared

Parabola

Both x and y squared, ratio = 1

Ellipses

X and Y squared, 1 pos 1 neg, ratio = 1

Hyperbola

X and Y squared, both have same coefficient, no ratio, ≥1

Circles

Parabola formula

Y-k=a(x-h)²

Parabola opening right

X-h=a(y-k)²

Ellipses formula

(x-h)²/rx² + (y-k)²/ry² = 1

Hyperbola formula - opens x-direction

(x-h)²/rx² - (y-k)²/ry² = 1

Hyperbola formula - opens y-direction

-(x-h)²/rx² + (y-k)²/ry² = 1 (or switch to have the negative in the middle)

Hyperbola - the ___ x or y means it opens in that direction

Positive

Circle formula

(x-h)² + (y-k)² = r²