# finding the closest to a point

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Find the point on the graph of the equation y^2 = 4x that is closest to the point (2,1).

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:09 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/finding-closest-point-31896

#### Solution Preview

the distance of a point on y^2 = 4x to the point (2,1)

s = sqrt{(x-20^2 + (y-1)^2}

Square of the distance

=> f = s^2 = ((y^2/4) - 2)^2 ...

#### Solution Summary

This solution is comprised of a detailed explanation to find the point on the graph of the equation y^2 = 4x.

$2.49