Calculus/Locus

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Expert: - 10/9/2011


Question
find the locus of a set of points which are such that their distance from the x-axis is always 2 units more than their distance from the y-axis.

Answer
Questioner:Sarah
Country:New South Wales, Australia
Category:Calculus
Private:No
Subject:locus

Question:

find the locus of a set of points which are such that their distance from the x-axis is always 2 units more than their distance from the y-axis.
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Translate phrases:

"distance from the x-axis" becomes "y"
"distance from the y-axis" becomes "x"

Now your problem becomes:

Find the locus of points such that y is always 2 more than x.

Can you finish up?

Calculus

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Paul Klarreich

Expertise

All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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