Answer:
Option (3)
Step-by-step explanation:
Equations of the different conic sections are,
Circle → x² + y² = r²
Ellipse → [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Parabola → y = ax²
Hyperbola → [tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]
Given equation in the question is,
[tex]y=\frac{1}{8}x^{2}[/tex]
Which matches to the equation of a parabola,
y = ax²
Therefore, equation fits to a parabola.
Option (3) will be the answer.
