a. Write the equation for the specified parent function. i. Cartesian equation for a

Chapter 12, Problem R.2

(choose chapter or problem)

a. Write the equation for the specified parent function. i. Cartesian equation for a unit circle ii. Parametric equations for a unit circle iii. Parametric equations for a unit hyperbola opening in the x-direction iv. Cartesian equation for a unit hyperbola opening in the y-direction v. Cartesian equation for a unit parabola opening in the x-direction vi. Cartesian equation for a unit parabola opening in the y-direction b. For the ellipse with equation i. Sketch the graph. ii. Transform to the form Ax2 + Cy2 + Dx + Ey +F = 0 iii. Plot the graph using the program of Section 12-2. Does it agree with your sketch? iv. Write the parametric equations and use them to plot the graph. c. For the hyperbola in Figure 12-7a, i. Write a Cartesian equation. ii. Write parametric equations. iii. Plot the parametric equations. Does the graph agree with Figure 12-7a? Figure 12-7a

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