Question
Consider the Cartesian equation of a hyperbola, y = 4 1 + x^2/9 , versus the parametric equations of the same hyperbola: x = 3tant
Consider the Cartesian equation of a hyperbola, y = 4 1 + x^2/9 , versus the parametric equations of the same hyperbola: x = 3tant y = 4 sect. What are the advantages of the parametric equations? Select all that apply.
A. The parametric equations are easier to enter into a calculator for graphing.
B. The parametric equations show the direction in which the hyperbola is drawn.
C. The parametric equations describe a three-dimensional figure
D. For a given value of the independent variable, the parametric equations yield exactly one point on the graph.
E. With parametric equations, each arm of the hyperbola is graphed in a continuous manner on a graphing calculator.
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