Enter Parabola equation


  

Evaluate the vertical parabola

x2 = 24y

Determine coordinates of the focus:

Since our y coefficient of 24 is positive
The parabola opens up

vertical parabola equation

x2 = 4cy

4c = 24

Divide each side by 4:

4c
4
=
  
24
4

c = 6

Our focus is (0,6)


You have 2 free calculationss remaining



Determine directrix equation:

Directrix is in the form y = c, so we have y = 6


What is the Answer?
Our focus is (0,6)
How does the Parabolas Calculator work?
Free Parabolas Calculator - Determines the focus, directrix, and other related items for a parabola.
This calculator has 1 input.

What 5 formulas are used for the Parabolas Calculator?

standard horizontal parabola equation is y2 = 4cx
standard vertical parabola equation is x2 = 4cy
If the x coefficient is negative, then parabola opens left
If the x coefficient is positive, then parabola opens right


For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Parabolas Calculator?

directrix
line in a parabola not through the focus
focus
fixed point on the interior of a parabola used in the formal definition of the curve
parabola
a plane curve which is approximately U-shaped
parabolas
Example calculations for the Parabolas Calculator

Parabolas Calculator Video


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