Question

the conic section below is______.
a. a circle
b. an ellipse
c. a parabola
d. a hyperbola
e. a degenerate

Explanation:

Step1: Recall conic section shapes

A circle is round, an ellipse is oval, a parabola is a single curve, a hyperbola has two separate curves.

Step2: Analyze the given graph

The graph shows two separate, curved parts opening away from each other, matching a hyperbola's shape.

Step3: Eliminate other options

• Circle: Round, no.
• Ellipse: Oval, no.
• Parabola: Single curve, no.
• Degenerate: Not a standard conic here, no.

Answer:

d. a hyperbola