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Use the graphs of $ x = f(t) $ and $ y = g(t) $ to sketch the parametric curve $ x = f(t) $, $ y = g(t) $. Indicate with arrows the direction in which the cuve is traced as $ t $ increases.
When $t=-1,(x, y)=(0,1) .$ As $t$ increases to $0, x$ increases from 0 to 1 and$y$ decreases from 1 to $0 .$ As $t$ increases from 0 to 1 , the curve is retraced in theopposite direction with $x$ decreasing from 1 to 0 and $y$ increasing from 0 to 1We could achieve greater accuracy by estimating $x$ - and $y$ -values for selectedvalues of $t$ from the given graphs and plotting the corresponding points.
Calculus 2 / BC
Chapter 10
Parametric Equations and Polar Coordinates
Section 1
Curves Defined by Parametric Equations
Parametric Equations
Polar Coordinates
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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Numerade Educator
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