Activity 4-5 Quadratic Formula

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Presentation transcript:

Activity 4-5 Quadratic Formula To solve a quadratic equation of the form ax2 + bx + c = 0, a ≠ 0 using the quadratic formula Set the quadratic equation equal to 0. Identify the coefficients a, b, and c. Substitute these values into the formula and simplify Check your solutions. For a parabola with x-intercepts, the axis of symmetry is always midway between the x-intercepts of the parabola The distance from the axis of symmetry to either x-intercept is

Annual number of Deaths of Motorcyclists Aged 30-39, 1991-2000 Motorcycle Deaths Annual number of Deaths of Motorcyclists Aged 30-39, 1991-2000 Year 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 # of deaths 711 638 647 584 562 541 547 599 601 687 This data can be modeled by the equation: n = 6.875x2 – 80.76x + 791 where n is the number of deaths and x represents the number of years since 1990. You want to know when the deaths of 30-39 is approximately 1000. Write an equation to determine this. Solve this equation using the quadratic formula. Interpret your answer.

Quadratic Formula For the quadratic functions below, solve by using the quadratic formula: 2x2 + 9x – 5 = 0 x2 + 5x = 13

Finding the x-intercepts For the quadratic functions below, determine the x-intercepts of the graph. F(x) = 2x2 – 6x – 3 H(x) = x2 – 8x + 16

Transitions Notebook P. 396-7 1-15 odds P. 403-6 1-13 odds