Question

PLEASE HELP

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Equations of the different conic sections are,

Circle → x² + y² = r²

Ellipse → $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

Parabola → y = ax²

Hyperbola → $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

Given equation in the question is,

$y=\frac{1}{8}x^{2}$

Which matches to the equation of a parabola,

y = ax²

Therefore, equation fits to a parabola.

Option (3) will be the answer.