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FactoringComplete the Square Quadratic Formula GraphingRoots $ 100 $ 200 $ 300 $ 400 End.

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Presentation on theme: "FactoringComplete the Square Quadratic Formula GraphingRoots $ 100 $ 200 $ 300 $ 400 End."— Presentation transcript:

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2 FactoringComplete the Square Quadratic Formula GraphingRoots $ 100 $ 200 $ 300 $ 400 End

3 Factoring $100 Factor (x + 6)(x - 1) Home

4 Factoring $200 Factor: (x – 3)(3x – 4) Home

5 Factoring $300 Solve by factoring: (x – 7)(x + 4) = 0 x = 7 x = -4 Home

6 Factoring $400 Solve by factoring: (x – 2)(5x + 6) = 0 x = 2 x = -6/5 Home

7 Complete the Square $100 What does k need to be to Complete the Square? k = 25 Home

8 Complete the Square $200 Home What needs to be added to both sides of the equation to Complete the Square? Add “1” to both sides.

9 Complete the Square $300 What needs to be added to both sides of the equation to Complete the Square? Add 25/4 to both sides. Home

10 Complete the Square $400 Solve for by Completing the Square: Home

11 Quadratic Formula $100 Write the Quadratic Formula. Home

12 Quadratic Formula $200 Identify a, b & c: a = 3 b = -4 c = -2 Home

13 Quadratic Formula $300 Solve using the Quadratic Formula: Home x = 2 x = -17

14 Quadratic Formula $400 What is the next step in proving the Quadratic Formula by Completing the Square? (What needs to be added to both sides of the equation to “complete the square”?) Home

15 Graphing $100 Where does the graph of the equation cross the y-axis? y-intercept: (o, 5) Home

16 Graphing $200 What is/are the x-intercept(s) of the graph of x-intercepts: (5,0) and (-2,0) Home

17 Graphing $300 For what value(s) of x does y = 0? x-intercepts: (0, 0) and (3, 0 ) Home

18 Graphing $400 Write a possible equation for the given graph. y = (x +1)(x -2) or y = x^2 – x - 2 Home

19 Roots $100 Give two more names for the roots of a quadratic equation? Home x-intercepts Zeros Solutions

20 Roots $200 Find the root(s) of Home x = -14 x = -2

21 Roots $300 Find the zero(s) of Home

22 Roots $400 Determine the solution for Home No Real Solution (Discriminant is Negative)

23 Home Mrs. Brown wants to jump off a cliff 20 feet above the water. The distance d above the water t seconds after she jumps is represented by the equation. How long will it take Mrs. Brown to hit the water? Round your answer to the nearest tenth Seconds


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