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Algebra 2 Ch.5 Notes Page 30 P 30 5-1 Modeling Data with Quadratic Equations.

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Presentation on theme: "Algebra 2 Ch.5 Notes Page 30 P 30 5-1 Modeling Data with Quadratic Equations."— Presentation transcript:

1 Algebra 2 Ch.5 Notes Page 30 P 30 5-1 Modeling Data with Quadratic Equations

2 Quadratic Functions Standard Form:y = ax 2 + bx + c f(x) = ax 2 + bx + c ax 2 + bx + c Quadratic Term Linear TermConstant a, b, and c are Numbers

3 Shape - Parabola Axis (Line) of Symmetry Vertical Line through the Vertex x = Number (?) Vertex - Hightest/Lowest Point Max or Min Graphs of Quadratic Functions y = x 2

4 Points on a Parabola Points are Symmetric about the Axis (Line) of Symmetry Find P' and Q' Find Vertex Find Line of Symm

5 Fitting a Quadratic Functions to 3 Points Find Equation for the Given Points Substitute into y = ax 2 + bx + c 3 = a(2) 2 + b(2) + c = 4a + 2b + 1c = 3 13 = a(3) 2 + b(3) + c = 9a + 3b + 1c = 13 29 = a(4) 2 + b(4) + c = 16a + 4b + 1c = 29 Use a Solving Method from Ch.3 or Matricies Substitution/Elimination/Matricies

6 Regressions on Graphing Calculator

7 HW #29 5 -1 P241 #1,5,8,10,11,13,18,20,21,38 Pl ease put your name and class period at the top of the homework. Also include the homework number.


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