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December 13th copyright2009merrydavidson

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Presentation on theme: "December 13th copyright2009merrydavidson"— Presentation transcript:

1 December 13th copyright2009merrydavidson
Find the axis of symmetry, the vertex and if it opens up or down. NO CALCULATOR!!! f(x) = -2(x+ 3)2 - 7

2 The QUADRATIC FORMULA Make sure these lines are long enough. No, you do NOT have to memorize this but you DO have to know how to use it.

3 Notice that the quadratic formula uses the discriminant.
* What does the quadratic formula do? ** This formula can be used to solve ANY quadratic function. Even if the roots are not whole numbers or even real numbers. ** The function must be in standard form. ** a, b and c are the coefficients of each term.

4 Determine how many solutions there are, what type of solutions, then find the exact solutions.
Find a, b, and c a = 2 b = 5 c = -3 Find the discriminant = 49 How many and nature of the solutions 2 real, rational solutions Find the exact solutions x = -1/2 , -3

5 Find the discriminant. Give the number & type of solutions
Find the discriminant. Give the number & type of solutions. Find the exact solutions. 2) 3x2 – 9x + 5 = 21 2 real, irrational solutions x = 2.26, .74 NOW do in the calculator and round to 2 decimal places. Remember there are 2 answers!

6 Find the discriminant. Give the number & type of solutions
Find the discriminant. Give the number & type of solutions. Find the exact solutions. 3) x2 – 4x + 13 = -36 2 imaginary solutions DONE

7 Homework Page 296 – 297 #3, 4, 5, 10, 13, 14, 15, 17, 20, 50, 55 SHOW ALL WORK NEATLY.


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