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THIS IS a variant of JEOPARDY!

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Presentation on theme: "THIS IS a variant of JEOPARDY!"— Presentation transcript:

1 THIS IS a variant of JEOPARDY!

2 Factoring (2 min) Solve for x: x2 – 5x = 24 (x – 8)(x + 3) = 0

3 Graphing Quadratics (2 min)
What is the equation for the axis of symmetry for the function with this graph? x = -3

4 Factoring (2 min) Solve for x: 3x2 + 24x + 21 = 0 x = -1, -7

5 Quadratic Functions (3 min)
Write in the form ax2 + bx + c a function that has roots at x = 3 and -5. x2 + 2x – 15

6 Graphs (3 min) The diagram below shows the graph of
y = c + kx – x2, where k and c are constants. Find the values of k and c. c = 0; k = 5

7 Projectile Motion (3 min)
You shoot an arrow into the air such that its motion is modeled by h(t) = -16t2 + 46t + 5. At what time will the arrow be at its highest point? At t = seconds.

8 Graphing Quadratics (2 min)
What is the equation for the axis of symmetry of the function f(x) = -2(x – 4)2 + 1 ? x = 4

9 Factoring Polynomials (2 min)
Solve for x: x3 + 6x2 – 7x = 0 x = 0, -7, 1

10 Graphing Quadratics (3 min)
If starting with a function f(x) = x2, describe all the graphical transformations present in the new function g(x) = -2(x + 2)2 – 1 left 2 units down 1 unit reflected over x-axis vertically stretched by factor of 2

11 Graphing Polynomials (2 min)
Make a graph that… As x  -∞, f(x)  ∞. As x  ∞, f(x)  -∞.

12 If h(x) = -x4 + 3x3 – 2x2, then h(3) – h(-1) is…
Plugging In (3 min) If h(x) = -x4 + 3x3 – 2x2, then h(3) – h(-1) is… = -12

13 Increasing and Decreasing (3 min)
Indicate the intervals of f(x) where the graph is increasing only, if f(x) = 8x5 – 2x3 + 4x2

14 Graphing Quadratics (2 min)
Determine the coordinates of the vertex for the function Meow(x) = 3(x – 1)2 – 6. (1, -6)

15 Solving Quadratics (4 min)
Solve by any algebraic (not graphing) method: 2x2 + 8x + 5 = 1 Approximate to the nearest hundredth. x = -3.41, -0.59

16 Projectile Motion (3 min)
You shoot an arrow into the air such that its motion is modeled by h(t) = -16t2 + 46t + 5. At what time during its fall back to Earth will the arrow be at a height of 6 feet? At t = seconds

17 Factoring (2 min) Solve for x: x2 – 10x – 24 = 0 x = -12, 2

18 Graphing Polynomials (2 min)
For the function z(x) = -1.37x4 – 2.4x3 + 3x2 + 6x, determine and describe the coordinates of all extrema. local (-1.567, ) & (0.972, 5.239) local (-0.719, )

19 If g(x) = -x2 + 5x – 4, then g(3) – g(-1) is…
Plugging In (2 min) If g(x) = -x2 + 5x – 4, then g(3) – g(-1) is… = 12

20 Factoring (2 min) Solve for x: x3 + 4x2 – 3x – 12 = 0


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