December 13th copyright2009merrydavidson

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Presentation transcript:

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

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.

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.

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

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!

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

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