# Let P(x, y) be a point on the graph of y

Let P(x, y) be a point on the graph of
$$\displaystyle{y}=\sqrt{{x}}.$$
Express the distance, d, from P to (2, 0) as a function of the point's x-coordinate.

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$$\displaystyle{d}=\sqrt{{{\left({x}–{2}\right)}^{{2}}+{y}^{{2}}}}=\sqrt{{{\left({x}-{2}\right)}^{{2}}+{\left(\sqrt{{x}}\right)}^{{2}}}}=\sqrt{{{x}^{{2}}–{4}{x}+{4}+{x}}}=\sqrt{{{x}^{{2}}–{3}{x}+{4}}}$$