Question

Which of the following represent(s) the graph of a quadratic equation? Select all that apply.

hyperbola
line
parabola
circle
ellipse

Answer 1

In the quadratic unit in math you should have learned that Ellipse, Hyperbolas, Parabolas, and Circles are all quadratic functions. Thus meaning they must all have a quadratic equation.
Hope this helps! :)

Answer 2

Answer: Hyperbola , parabola, circle and ellipse

Explanation:

A line always represents the graph of linear equation.

Hyperbola , parabola, circle and ellipse are four conic sections

Conic sections are known as quadratic relations because their equations are of second order but are not always functions.

For Example :-A conic section is a circle when the
`x^2` and
`y^2` terms have the same sign and equal coefficients. A circle is a quadratic relation (not a function).

Similarly ellipse and hyperbola is a quadratic relation.

A parabola has an equation that contains only one squared term and hence its a quadratic relation.

Therefore, the right answers are Hyperbola , parabola, circle and ellipse.