FIRST GRADING, 1" SEMESTER NAME: DATE: GRADE & SECTION PAGE 27 General Instructions: This is a Quiz worth 30 points from module 1. Cut this part and staple them properly Don't Forget to write your name grade and section on the upper left corner of the next pages, ALL final answers should be written in blue or black permanent ink only. Strictly NO any kind of ERASURE or change in answer, NO superimposition on final answers. Deduction from the total score will be given if instructions are not followed. 1. MULTIPLE CHOICE: Write your answers in CAPITAL LETTERS on the blanks provided for. Some numbers may require to show your solution. (14 points) For numbers 1 and 2: Choose the graph that corresponds to the given equation of the conic. 1. (x -3)2 = 10 -y2 2. y = -(x - 1)2 -2 h A. B. C. V D. E. IF F. T 3. State the vertex of the parabola whose equation is (y - 9) = -4(x - 2). A. (9,-2) B. (-2,2) C. (2,-2) D. (2,9) 4. Identify the focus of - = (y -3)? = (x - 2). A. (0,3) B. (4,3) C. (2, 1) D. (2,5) 5. Determine the directrix and axis of symmetry of a parabola with vertex (4, -2) and focus (4,4)- A. Directrix: y = -8; Axis of Symmetry: x = 4 B. Directrix x = -8, Axis of Symmetry: y = 4 C. Directrix y = -10; Axis of Symmetry: x = 4 D. Directrix x = -10; Axis of Symmetry: y = 4 Property of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting loving, recordingPRE-CALCULUS 6. Write the equation of the parabola with vertex (4, -2) and focus (4,4). A. (x -4) = 16() + 2) C. (v + 2)2 = 8(x - 4) B. (x - 4)= 24() + 2) D. (y +2) = 12(x - 4) 7. What are the center and radius of the circle, (x - 7) + (y + 6) =4? A. C: (-7.6):1 =4 C. C: (7, -6); 1 = 16 B. C. (-7.6):1 =8 D. C: (7. -6):1 = 2 8. Write the equation of the circle with a diameter with endpoints (6, 12) and (16, -8). A. (x - 11) + (v-6)2= 125 C. (x - 11)2 + (y + 6)2 = 11.2 B. (x - 11)2 + (v -2)? = 12 D. (x - 11) + (y -2)2 = 11.2 For numbers 9 - 11: Given a circle passing through the point (5,9) with radius equal to 4. 9. Where is the center of this circle located? A. (9,9) C. (4.5) B. (5,5) D. (5,1) 10. Which of the following is a point on the graph of this circle? Page 28 A. (9.9) C. (4,5) B. (5,5) D. (5, 1) 11. Which of the following is NOT a point on the graph of this circle? A. (5,9) C. (4,5) B. (5,5) D. (5,1) For numbers 12_ 14: A parabola defined by the equation x + 3 = = (y + 2)2 is translated 4 units down and 3 units to the right. 12. What is the standard equation of the resulting parabola? A. x+6=()2 C. x = =(V -6)2 B. x- 6= =() D. x = () +6)2 13. What is the focal distance? A. 8 C. 4 B. 2 D. 1 14. What is the vertex of the resulting parabola? A. (0,-6) C. (-6,0) B. (-6,-6) D. (6,-6) I1. TRUE or FALSE: Write the word TRUE if the statement is correct; otherwise, write FALSE, (5 points) 1. A circle is a special kind of an ellipse. 2. When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle. 3. The circle represented by the equation x* + y? = 1 passes through the origin. 4. All parabolas with vertical directrix open to the left or to the right. 5. A parabola with the equation (y -k)? = 4p(x - h) has a principal axis y = k, vertex at (h, k), and p as directed distance from the vertex to the focus. Property of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting usmitting in any form or by any means, electronic, mechanical, photocopying. recording. or otherwise of any part on of SLU, Is strictly prohibited. 28