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Jordan loves to juggle.  He wants to know the arc of balls when he juggles.  If he throws the ball at (0,45) and it reaches a maximum of (9,72), then what is the quadratic equation of his balls?

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Youtube Video

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y=-1/3x^2+6x+45

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The vertex is (9,72). This is the highest point in the ball's arc. The ball is nine inches to the left of the throwing hand and 72 inches above the ground.

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The y-intercept is (0,45). This is where the ball leaves Jordan's hand when he throws it.