oulary: Fill in the Is the set of all points (r, y) in a plane that are equidistant from a fixed line, and a fixed point, called the is the intersection of a plane an nen a plane passes through the vertex of a double-napped 47. y of points is a collection of points satisfying a given geometric of the parabola. Finding the Ve Parabola In E: and directrix of t graph the parabo 51. x2 +4x – 6y 53. y2+x + y = Findi not on the line. 49. y² + 6y + ne line that passes through the focus and the vertex of a parabola is the he of a parabola is the midpoint between the focus and the directrix. ine segment that passes through the focus of a parabola and has endpoints on the parabola is a line is to a parabola at a point on the parabola when the line intersects, but does not cross ne parabola at the point. 15. Focus: (0,) 17. Focus: (-2, 0) 16. Focus: , 0) 18. Focus: (0, –1) 20. Directrix: y = -4 s and Applications ching In Exercises 9-12, match the equation with raph. [The graphs are labeled (a), (b), (c), and (d).] a Pa equat %3D 19. Directrix: y = 2 22. Directrix: x = 3 at the (b) 21. Directrix: x = -1 23. Vertical axis; passes through the point (4, 6) 24. Vertical axis; passes through the point (-3, –3) 25. Horizontal axis; passes through the point (-2, 5) 26. Horizontal axis; passes through the point (3, -2) 55. x2 = 8y %3D 4. -2 8. 10 Finding the Standard Equation of a Parabola In Exercises 27-36, find the standard form of the equation of the parabola (d) -4 -4 with the given characteristics. ++ ++ 57. x = 2y, (4, %3D 21 -4 -2 27. 28. Vertex (2,6) 59. y = - 2x2, 8. Focus y = 4x 61. Flashlight 4 10. x = 2y •Focus (-3, 0) |3D 3 = -8y 12. y = - 12x (2, 4) focus of the 2 %3D Vertex 8 12 vertex of tha Finding the Standard Equation of a Parabola In Exercises 13-26, find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. (-4, 0) -8 -1 t1 2 3 4 5 6 a cross sects 6. on the posia 29. Vertex: (6, 3); focus: (4, 3) 30. Vertex: (1, –8); focus: (3, –8) 31. Vertex: (0, 2); directrix: y = 4 14. 8- Focus (-4.5, 0) 11++ -8 -4 32. Vertex: (1, 2); directrix: y = - 1 33. Focus: (2, 2); directrix: x = -2 Focus 10,1) 34. Focus: (0, 0); directrix: y = 8 35. Vertex: (3, -3); vertical axis; passes through the pome (0,0) 4 -6 -2+ 2 6 36. Vertex: (-1, 6); horizontal axis; passes through the point (-9, 2) Figure for 62. Satellite dish is at th equation f 4- 2. ++++

Thank you for your help! What does the expoenental - ( example: x¯) represent/mean?

An instructor was interested in how framing impacted her students' feelings about her grades. She randomly assiagned students to either receive positive ("This is an improvement") or negative ("You will still need to do a lot of work on this") feedback on an assignment. She further assigned students to a points lost (-10 points) or points gained (+90 condition) condition. After teach assignment was returned, she asked students to rate the fairness of their grades on a 10-point scale (0 = not fair at all, 10 = extremely fair).                                          Points Lost                          Points Gained                         Mean Positive Feedback               7.8                                            7.9                                   7.85 Negative Feedback              4.3                                            5.5                                   4.9 Mean                                    6.05                                           6.7…

Many graduate school programs in the United States require applicants to take the Graduate Record Exam, also called the GRE. One part of the exam, the GRE-Quantitative test, assesses students' level of quantitative reasoning and thinking - exactly the skills we are building in our class this semester. The highest score possible on the GRE-Quantitative test is a score of 800. Many graduate schools think that a score of 700 or higher on the GRE-Quantitative test shows that the applicant has strong quantitative skills. The table shows the number of people who took the GRE between 2003 and 2006 who had GRE-Quantitative test Scores of 700 or higher. All of the people represented in the table planned to major in one of the two listed areas of the social sciences. a. Complete the table. INTENDED MAJOR GRE-QUANTITATIVE SCORE Below 700 700 to 800 TOTAL Economics 2,143 6,775 Political Science 4,071 19,450 TOTAL 8,703