Anonymous asked in Science & MathematicsMathematics · 1 month ago

calculus II help?

 A parabola opening vertically contains the points (0, 2), (4, 6), and (6, 14). What is its focal length? [Hint: such a parabola must have equation y = ax^2 + bx + c.] 

2 Answers

  • 1 month ago

    Half the side of the square, where two squares form the rectangle with the latus rectum as one side, and the opposite side is on the directrix.

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  • 1 month ago

    You forgot to say what you need help with. The first step is, unsurprisingly, to find the equation of the parabola from the three points. You only need to find a, because the focal length is 1 / (4a).

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