How do you graph ${(y - 100)}^{2} + x^{2} = 10000$ $(y-100)^2 +x^2 =10000$ ?

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How do you graph ${(y - 100)}^{2} + x^{2} = 10000$ $(y-100)^2 +x^2 =10000$ ?

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Answer 1 · 2016-01-26T09:14:50

Graph of a circle

Explanation:

This becomes clearer if the right hand side is written in scientific notation
${(y - 100)}^{2} + x^{2} = 10^{4}$ $(y-100)^2 + x^2 = 10^4$
${(y - 100)}^{2} + x^{2} = {(10^{2})}^{2}$ $(y-100)^2 +x^2 = (10^2)^2$
This then can be seen to be the equation of a circle with radius $10^{2} = 100$ $10^2 = 100$ and with centre $(0, 100)$ $(0,100)$
Thus the graph will be as follows.
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How do you graph ${(y - 100)}^{2} + x^{2} = 10000$ $(y-100)^2 +x^2 =10000$ ?

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How do you graph (y−100)2+x2=10000(y-100)^2 +x^2 =10000?

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Explanation:

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How do you graph ${(y - 100)}^{2} + x^{2} = 10000$ $(y-100)^2 +x^2 =10000$ ?