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Plane Math Jeopardy: Quirky Quadratic & Slippery Slope Functionality

Test your math skills with Jeopardy-style questions on topics like distance, slope, equations of lines, and circle properties in the plane.

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Plane Math Jeopardy: Quirky Quadratic & Slippery Slope Functionality

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  1. Jeopardy!

  2. 10 Please select a Team. • Team 1 • Team 2 • Team 3 • Team 4 • Team 5

  3. Quirky Quadratic On the Plane Slippery Slope Functionality Operation Table 200 200 200 200 400 400 200 400 400 400 600 600 600 600 600 800 800 800 800 800 1000 1000 1000 1000 1000 Jeopardy Scores

  4. On the Plane200 Points Find the distance d(A,B) between A & B given A(-2,-5) and B(4,6).

  5. Find the distance d(A,B) between A & B given A(-2,-5) and B(4,6). Answer • 12.5 • 13.6 • 14.2 • 11.7 Category Selection

  6. On the Plane400 Points Find P2 if P1 (-2,3) and the midpoint M(1,.5).

  7. Find P2 if P1 (-2,3) and the midpoint M(1,.5).Answer • (4,-3) • (5,-1) • (4,-2) • (-2,4) Category Selection

  8. On the Plane600 Points Describe the set of all points (x,y) in a plane that satisfy x = -2.

  9. Describe the set of all points (x,y) in a plane that satisfy x = -2.Answer • Line II to x-axis and intersection on y-axis at (0,-2) • Line II to y-axis and intersection on x-axis at (-2,0) • Line II to y-axis and intersection on x-axis at (0,-2) • Line II to x-axis and intersection on y-axis at (-2,0) Category Selection

  10. On the Plane800 Points Find all points on the x-axis that are a distance of 5 from P(-2,4)

  11. Find all points on the x-axis that are a distance of 5 from P(-2,4)Answer • (0,1), (-4,0) • (-1,3), (-6,0) • (-2,5), (-5,0) • (1,0), (-5,0) Category Selection

  12. On the Plane 1000 Points Find the area of A(-1,-3), B(6,1), C(2,-5)

  13. Find the area of A(-1,-3), B(6,1), C(2,-5)Answer • 12 • 13 • 14 • 15 Category Selection

  14. Slippery Slope200 Points Find the slope of A(-1,4) & B(3,2).

  15. Find the slope of A(-1,4) & B(3,2). Answer • -.75 • .25 • -.125 • -.5 Category Selection

  16. Slippery Slope400 Points Find the slope

  17. Find the slopeAnswer • -1 • Undefined • 1 • 0 Category Selection

  18. Slippery Slope600 Points Find an equation of a line through A(-3,4) & II to the y-axis

  19. Find an equation of a line through A(-3,4) & II to the y-axisAnswer • X = 3 • Y = 4 • X = -3 • Y = -4 Category Selection

  20. Slippery Slope800 Points Find an equation of a line through A(1,7) & B(-3,2) in slope-intercept form.

  21. Find an equation of a line through A(1,7) & B(-3,2) in slope-intercept form. • Y = -1.25x-5.75 • Y = 1.5x + 5.2 • Y = -5x + 4 • Y = 1.25x + 5.75 Category Selection

  22. Slippery Slope1000 Points Find the general form for the line through (5,-7) and perpendicular to the line 6x + 3y = 4.

  23. Find the general form for the line through (5,-7) and perpendicular to the line 6x + 3y = 4.Answer • X – 2y = 19 • 2x + 2y = 19 • X + y = -19 • X + 2y = 19 Category Selection

  24. Functionality200 Points If f(x) = x2-x+3, find f(a)

  25. If f(x) = x2-x+3, find f(a) Answer • -a2+a-1 • a2-a+3 • a2-a+1 • a2-a-3 Category Selection

  26. Functionality400 Points If f(x) = 2x2 + 3x – 7, find f(a) + f(h)

  27. If f(x) = 2x2 + 3x – 7, find f(a) + f(h)Answer • 2a3+2a+2h2+4h-14 • 2a2 + a + 2h2 +h -14 • 2a2 + 3a +2h2 + 3h -14 • 2a2 + 3a +2h2 – 3h -14 Category Selection

  28. Functionality600 Points Find the domain of f(x) =

  29. Find the domain of f(x) Answer • All Reals • All Reals except 0,1,2 • All Reals except 0,-2,4 • All Reals except 0,-2,2 Category Selection

  30. Functionality800 Points Find the common domain & range of R if f(x) = 4 – x2

  31. Find the common domain & range of R if f(x) = 4 – x2 Answer • D(-∞,∞); R (-∞,4] • D(-∞,∞); R (-∞,-4) • D(-∞,-∞); R (-∞,-4) • D(∞,∞); R (∞,4) Category Selection

  32. Functionality1000 Points Determine whether 2y = x2+5 is a function & explain.

  33. Determine whether 2y = x2+5 is a function & explain. Answer • Yes; b/c it passes the vertical line test • No; b/c it doesn’t pass the vertical line test • Yes; b/c it passes the horizontal line test • No; b/c it doesn’t pass the horizontal line test Category Selection

  34. Operation Table200 Points What are the x & y intercepts of y = 2x2 – 1?

  35. What are the x & y intercepts of y = 2x2 – 1?Answer • X(-1,0); y(0,1),(0,-1) • X(-1,0),(1,0); y(0,-1) • X(.707,0),(-.707,0); y(0,-1) • X(-1,0),(1,0); y(0,.707) Category Selection

  36. Operation Table 400 Points What is the center and radius of the circle (x+3)2 + y2 = 16?

  37. What is the center and radius of the circle (x+3)2 + y2 = 16?Answer • (0,-3); r = 4 • (-3,0); r = 4 • (0,3); r = 4 • (3,0); r = 4 Category Selection

  38. Operation Table 600 Points Find an equation of the circle with center at C(4,-1) and tangent to the x-axis.

  39. Find an equation of the circle with center at C(4,-1) and tangent to the x-axis.Answer • (x-1)2 + (y-4)2 = 1 • (x-4)2 + (y+1)2 = 4 • (x-4)2 + (y+1)2 = 1 • (x-1)2 + (y+1)2 = 4 Category Selection

  40. Operation Table800 Points Find the center and radius of the circle x2+y2+8x-10y+37 = 0

  41. Find the center and radius of the circle x2+y2+8x-10y+37 = 0Answer • (-4,5); r = 4 • (4,-5); r = 1 • (-4,5); r=2 • (-4,-5); r = 2 Category Selection

  42. Operation Table1000 Points Determine whether the function f(x) = 7x5 – 4x3 is even, odd, or neither.

  43. Determine whether the function f(x) = 7x5 – 4x3 is even, odd, or neither.Answer • Even • Odd • Neither Category Selection

  44. Quirky Quadratics200 Points Find the standard equation of any parabola that has vertex V. V(-3,1)

  45. Find the standard equation of any parabola that has vertex V (-3,1) Answer • Y = a(x-3)2 + 1 • Y = a(x+3)2 + 1 • Y = a(x-3)2 - 1 • Y = a(x-1)2 + 3 Category Selection

  46. Quirky Quadratics400 Points Express in the form f(x) = a(x-h)2+k f(x) = x2-6x+11

  47. Express in the form f(x) = a(x-h)2+kf(x) = x2-6x+11Answer • f(x) = 2(x-3)2+4 • f(x) = -4(X-2)2+3 • f(x) = (X-3)2+3 • f(x) = (X-3)2+2 Category Selection

  48. Quirky Quadratics600 Points Find the zeros of f. f(x) = -(x-2)2 + 4

  49. Find the zeros of f.f(x) = -(x-2)2 + 4Answer • x = 0; x = 4 • x = 0; x = 2 • x = 1; x = 2 • x = -1; x = 4 Category Selection

  50. Quirky Quadratics800 Points Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. Vertex(0,-2), passing through (3,25)

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