The advantages of the parametric equations are:
- The parametric equations show the direction in which the circle is drawn.
- For a given value of the independent variable, the parametric equations yield exactly one point on the graph.
- The parametric equations have a finite domain.
- The parametric equations are easier to enter into a calculator for graphing.
Consider the Cartesian equation of a circle, y equals negative 2 plus or minus Start Root 36 minus left parenthesis x minus 1 right parenthesis squared End Root, versus the parametric equations of the same circle:
x = 1 + 6 cos t
y equals negative 2 plus 6 sine t.
What are the advantages of the parametric equations? Select all that apply.
(2 points)
Responses
The parametric equations show the direction in which the circle is drawn.
The parametric equations show the direction in which the circle is drawn.
The parametric equations describe a three-dimensional figure.
The parametric equations describe a three-dimensional figure.
For a given value of the independent variable, the parametric equations yield exactly one point on the graph.
For a given value of the independent variable, the parametric equations yield exactly one point on the graph.
The parametric equations have a finite domain.
The parametric equations have a finite domain.
The parametric equations are easier to enter into a calculator for graphing.
1 answer