How to find the equation of a parabola with 3 points?

e2a2d3s222pi

e2a2d3s222pi

Answered question

2023-02-17

How do I find the value of cot 330?

Answer & Explanation

Eva Harrington

Eva Harrington

Beginner2023-02-18Added 6 answers

The general equation of parabola is y=ax2+bx+c
Let ( x 1 , y 1 ) , ( x 2 , y 2 ) , ( x 3 , y 3 ) are the 3 points that lie on the parabola.
These points satisfy the equation of parabola.
Now,
y 1 a x 1 2 b x 1 c = 0
y 2 a x 2 2 b x 2 c = 0
y 3 a x 3 2 b x 3 c = 0
Next solving these equations we can find the values of a,b,c.
The required equation can then be found by substituting it into an equation.
Therefore, in this way we can find the equation of a parabola with 3 points.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?