Can someone help me with this question? Find the cartesian equation and carefully and clearly sketch the graph of the following system of parametric equations for the given values of the parameter.
x = t-1
y = t/t-1
for t<0
by 
kellybelly1989
ANSWERS: 1
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You have parametric equations in t. To find the cartesian equation you need to eliminate the t. One way you can do that is to solve for t in the first equation and substitue in the second. Note that if t<0 then x must be less than -1. When you have your cartesian equation, look out for poles (when the denominator goes to zero) and roots (when the equation goes to zero). In this case the answer is a hyperbola but in other cases you sometimes have to differentiate the equation and solve to find the turning points of the graph.
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