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5.1 - the parabola intersects the Points on a Parabola...

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1 5.1 Notes Modeling Data w/Quadratic Functions Warm-up Evaluate each function for x = -3 and x = 3 1) 2) 3) 2 ) ( x x f - = 2 3 1 ) ( x x f = 2 3 1 ) ( x x f - = Quadratic Functions and Their Graphs OBJECTIVES: box3 identify quadratic functions and graphs box3 model data with quadratic functions Quadratic Function: c bx ax x f + + = 2 ) ( quadratic term linear term constant term 0 a If a = 0, then there is no quadratic term, and the function is not quadratic. Examples of Quadratic Functions Is the function linear of quadratic? a) y = (2x+3)(x – 4) b) f(x) = Remember FOIL? F irst O uter I nner L ast ) 2 ( 3 ) 2 ( 3 2 2 - - - x x x Graphing Quadratics The graph of a quadratic function is a _______________. The _________ of _____________ is the line that divides a parabola into two parts that are mirror images. The _________________ is the point which
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Unformatted text preview: the parabola intersects the ____________________. Points on a Parabola 1)Identify the line of symmetry 2)Identify the points corresponding to P and Q. 2 Finding a Quadratic Model Find a quadratic function to model the values in the table. -Substitute the values of x and y into 29 9 13 4 3 2 y x c bx ax y + + = 2 Now Solve the System = + + = + + = + + 29 4 16 13 3 9 3 2 4 c b a c b a c b a Substitute your values for a, b, and c back into the quadratic function c bx ax y + + = 2 The quadratic function is: You try Find a quadratic function with a graph that includes (1,0), (2,-3), and (3,-10) Homework p. 237 # 1-5, 10-14, 20-21...
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