How to write the equation of a parabola given three points

👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and hence three points are needed to solve/obtain the equation of a parabola.

Given three points on a parabola, we use the standard form of a quadratic equation to set up a system of three linear equations which we solve to obtain: a, b, and c and hence, the equation of the parabola.

Organized Videos:
✅Write the Equation of a Quadratic
✅Write the Equation of a Quadratic Given Vertex and a Point
✅Write the Equation of a Quadratic Given Three Points

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#Equationofquadratics #quadratics #brianmclogan

[priffu]

Dude you helped me understand something I spent a whole month trying to figure out. You brilliant madman.

[starboii]

My teacher explained for an hour i did not understand u did it in 4min😎

[louisMC]

Thanks. Tomorrow I have a math test, and am cramming. Thanks for having a clear title as well, so its easy to find on YouTube

[cynthiaweber]

Sir... what if we dont have any points that have a zero, therefore we dont know the value of C?

[EpicDragonBro]

Oh my god, you are literally a saint! I could never understand how to do these until I watched your video! Thank you so much! 😆

[roquebongalon]

Most of your videos helps me a lot. Thank youuu so much

[iremsuco]

so thank you from turkey you're amazing I was trying to understand this 🥺🥺🥺🥺

[oof]

Thank you, helped a lot... Some how the problem that was given to me came out EXACTLY the same in the last two steps lol, so after that i could just copy it....

[albertomiguel]

How abt if the x axis numbers are negative how will you find C ?

[eli.b.]

From the bottom of my heart thank you man!

[isighbs]

Life saver quiz tomorrow and i had no clue how to do these ones

[brayton]

How do I find the equation of a parabola in the form of y=a(x+p)^2+q If the already did give us the equation as a trinomial

[khadijachambers]

is the first equation always c or only if the number is 0? in my equation the numbers are -2=a(-1)^2+b(-1)+c will it be c is equal to -2

[kochomohamud]

super amazing dude you are on another level..much appreciated

[Loading.dot.]

sir what if you have a fraction in the points?

[umarmaitla]

Very efficient way to solve a problem 😇

[cres]

How did you know that is the formula to be used and not the x=ay2+by+c?

[jg]

ohhhh i was using by instead of bx. thanks

[hanatarek]

could this work for a 4th order polynomial

[LynxMajic]

How did you get -1 from dividing a by -3, in a=a+b+3? How do you get to -1=a+b? Shouldn't you get -3a=a+b? Thanks!