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Published byIlene Lawrence Modified over 6 years ago
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October 28th Happy Birthday tomorrow to: Alex Aviles
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3 forms of quadratic equations
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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
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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
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2) f(x) = 2(x – 1)(x + 3)
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Solving a quadratic from intercept form
The path of a placekicked football can be modeled by the function f(x) = x(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?
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Changing from factored to standard form
f(x) = -(x – 2)(x + 4) What should you do?
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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
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Homework
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