Answer true or false. The point on the parabola y = 5x² closest to (0, 0.8) is (0, 0).

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The point on the parabola closest to (0, 0.8) will lie on the axis of symmetry of the parabola, which is the vertical line x = 0. Therefore, the x-coordinate of the closest point must be 0, but the y-coordinate may not necessarily be 0. We would need to find the y-coordinate of the point by plugging in x = 0 into the equation y = 5x^2 and we get y = 0, so the x-coordinate is correct but the y-coordinate is not.

Answer True or False