October 28th Happy Birthday tomorrow to: Alex Aviles

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Presentation transcript:

October 28th Happy Birthday tomorrow to: Alex Aviles

3 forms of quadratic equations

4-2: Graphing & Solving from intercept form f(x) = (x – 2)(x + 4) Solve each part for x = x = 2 x = -4 The solutions are the x-intercepts

f(x) = (x – 2)(x + 4) Solve each part for x = x = 2 x = -4 The solutions are the x-intercepts The AOS is ½ way between the 2 solutions. The x-part of the vertex is -1 (-1, ?) Plug -1 in to find y. y = (-1-2)(-1+4)=-9

2) f(x) = 2(x – 1)(x + 3)

Solving a quadratic from intercept form The path of a placekicked football can be modeled by the function f(x) = -0.026x(x – 46) where x is the horizontal distance (in yards) and y is the corresponding height (in yards). How far is the football kicked? What is the footballs maximum height?

Changing from factored to standard form f(x) = -(x – 2)(x + 4) What should you do?

If a > 0 it opens UP If a < 0 it opens DOWN vertex form standard/general form factored form If a > 0 it opens UP If a < 0 it opens DOWN

Homework