How can you distinguish parabolas from other conic sections by looking at their equations?

sjeikdom0 2021-01-31 Answered
How can you distinguish parabolas from other conic sections by looking at their equations?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

l1koV
Answered 2021-02-01 Author has 100 answers

Step1 Consider the standard form of the equation of the parabola is either y2=4px or x2=4py.
This,shows that equation of the parabola will have either x2 or y2 term on one side of the equation and a y term or x term on the other side of the equation.

Step 2

In case of other conic section there will be x2 and y2 term on one side of the equation with a constant value on the other side. Thus, in this way the parabola can be distinguished from the other conic sections by looking at the equations.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more