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

tinfoQ 2021-08-09 Answered
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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Expert Answer

Nola Robson
Answered 2021-08-10 Author has 15104 answers

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