Find the point on the parabola shown below that is closest


Find the point on the parabola shown below that is closest to the point (5, 0).

1056_Parabola.png

(a) Express the square of the distance between the parabola and the point (5, 0) in terms of x only. Note: Minimizing the square of the distance can be used in this case to avoid working with square roots.

(b) Find the coordinates of the point on the parabola to two decimal places.

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Mathematics: Find the point on the parabola shown below that is closest
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