Classify the conic section as a circle, an ellipse, a hyperbola, or a parabola.

25x2=64+16y

ellipse

parabola

circle

hyperbola

1 answer

Parabola

25 x ^ 2 = 64 + 16 y

25 x ^ 2 - 64 = 16 y Divide both sides by 16

25 x ^ 2 / 16 - 64 / 16 = y

y = 25 x ^ 2 / 16 - 4

Quadratic equation.

A parabola is an equation of the form y = a x ^ 2 + b x + c