How would I write the equation of a parabola which passes through these three points?

Question

How would I write the equation of a parabola which passes through these three points?
(5.3, 13) (7, 18.4) (9.6, 5)

For guaranteed best answer: How would I type this in a calculator to get the best for parabola?
And - what two equations am I comparing? 

Thanks!

? · Answer

understand that the finest equation for a parabola is y = ax^2 + bx + c to jot down the equation, you are able to need to calculate a, b, & c For that you'll want to create 3 equations with 3 unknowns Plug the given coordinates (each and each component) into y = ax^2 + bx + c Then, pick the kit for a, b, & c to jot down the requested equation... artwork to do...

achain · Answer

Remember that the general equation for a parabola is y = ax^2 + bx + c

To write the equation, you need to calculate a, b, & c

For that you need to create 3 equations with 3 unknowns

Plug the given coordinates (each point) into y = ax^2 + bx + c

Then, solve the system for a, b, & c to write the requested equation...

Work to do...

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How would I write the equation of a parabola which passes through these three points?

2 Answers