Finding the Equation of the Parabola using Calculus

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Finding the Equation of the Parabola using Calculus. Find the equation of the parabola f(x) = ax^2 + bx + c that passes through (0, 5) and is tangent to the line y = 3x - 3 at (1, 0).
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I can't thank you enough. You're the only video I could find explaining this and that includes videos from my own teacher who assigned this on a quiz.

jamesflint
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What if the parabola passes through the point (x, y) where x is not equal to zero?

Jatrex--Smith
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Why did you pick a problem that conveniently allowed you to solve for 'c'? You didn't need the 3rd condition.

ABIYSCGSTEGD
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Soooo helpful! Your channel name is insanely accurate!

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