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In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 40 centimeters tall and 90 centimeters wide. Find the equation of the parabola.

I tried working this problem out and I got y=-8/405x^2+40, but I'm not sure if it is right. Could someone please help me?

  • Math -

    draw a picture of the parabola, centered over (0,0)

    vertex: (0,40)
    x-intercepts: x = 45, -45

    y = (45^2 - x^2) * 40/45^2

    you can pretty it up if you want.

  • Math -

    Is my answer correct then??

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