Mathematics

Question

Which of the following represent(s) the graph of a quadratic equation? Select all that apply.
hyperbola
line
parabola
circle
ellipse

2 Answer

  • 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: Hyperbola , parabola, circle and ellipse


    Step-by-step 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 [tex]x^2[/tex] and [tex]y^2[/tex] 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.

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