Precalc!!! Question> 1. If a parabola's s focus is at (-1,-1) and directrix is at y=7, what is the general form of the equation representing this parabola? Answers> A. x^2 - 2x + 2y^2 + 16y - 47 =0 B. x^2 - 2x + 16y - 49 = 0 C. x^2 - 47 = 0 D. x^2 + 2x + 16y - 47 = 0 Question> 2. What is the equation of the parabola shown below, given the focus at F(1,5) and the directrix x = -3? Identify the vertex and the equation of the axis of symmetry for the parabola. (PICTURE WILL BE PROVIDED) Answers> A. x = 1/5(y + 5)^2 + 2; vertex (5,-1); axis of symmetry is x = -3 B. x = 1/4(y + 2)^2 - 5; vertex (-2,-5) axis of symmetry is y = 2 C. x = 1/8(y - 5)^2 -1; vertex (-1,5); axis of symmetry is y = 5 D. x = -1/8(y - 5)^2 -1; vertex (-1,5); axis of symmetry is y = 5 Question> 3. What is the equation of the given circle? (PICTURE WILL BE PROVIDED) Answers> A. (x - 3)^2 + (y - 2)^2 = 9 B. (x + 3)^2 + (y - 2)^2 = 9 C. (x + 3)^2 + (y + 2)^2 = 3 D. (x + 3)^2 + (y + 2)^2 = 9 Question> 4. Find the center and radius of the circle defined by x^2 + y^2 - 4x + 6y - 23 = 0 Answers> A. center (2,-3), radius 6 B. center (-2,-3), radius sqrt6 C. center (-2,3), radius sqrt6 D. center (-2,3), radius 6 Question> 5. which of the following equations represents an ellipse with x-intercepts _+3 and y-intercepts _+2 Answers> A. x^2/65 + y^2/16 = 1 B. x^2/9 + y^2/4 = 1 C. x^2/3 + y^2/2 = 1 D. x^2/2 + y^2/3 = 1 Question> 6. write the equation of the hyperbola with center at (3,-1), vertex at (6,-1), one asymptote with equation 2x - 3y = 9 Answers> A. (x + 3)^2/4 - (y - 1)^2/ 9 = 1 B. (x - 3)^2/9 - (y + 1)^2/4 = 1 C. (x - 3)^2/4 - (y + 1)^2/9 = 1 D. (x + 3)^2/9 - (y - 1)^2/4 = 1 Question> 7. What is the standard form of the conic defined by x^2 + 2y^2 - 8y = 0 Answers> A. x^2/4 + (y - 2)^2/2 = 1 B. x^2/16 + (y - 4)^2/8 = 1 C. x^2/8 + (y - 2)^2/4 = 1 D. x^2/8 + (y + 2)^2/4 = 1