Take this test as you would take a test in class. After you are finished, check your 11 (-2, 3 work against the answers given in the back of the book. (-6, 10) In Exercises 1-3, graph the conic and identify any vertices and foci. (-10,3) 1. y2 - & = 0 2. 2 - 4x + 4 = 0 3. x2 - 4y - 4x = 0 -19 4. Find the standard form of the equation of the parabola with focus (8. -2) and (-6. -4) directrix x = 4, and sketch the parabola. -5 5. Find the standard form of the equation of the ellipse shown at the right. Figure for S 6. Find the standard form of the equation of the hyperbola with vertices (0. +3) and asymptotes y = fix. 7. Use a graphing utility to graph the conic. - - 1. Describe your viewing window. 8. (a) Determine the number of degrees the axis must be rotated to eliminate the xy-term of the conic = + bry + y - 6 - 0. (b) Graph the conic in part (a) and use a graphing utility to confirm your result. 2 + 21 -41 + 61 -5- 9. Solve the system of equations at the right algebraically by the method of substitution, y+5 - 0 Then verify your results by using a graphing utility. System for 9 In Exercises 10-12, sketch the curve represented by the parametric equations. Then eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. 10. 2 12. = 2 + 3 cos 0 - 2 sin 8 In Exercises 13-15. find two different sets of parametric equations for the given rec- langular equation. (There are many correct answers. 13. TO 14. 15. 6 1 416 - 16 -0 16. Convent the polar coordinate to rectangular form