1. Chapter 9

2.  Pg. 546 – 552  Obj: Learn how to graph quadratic functions.  Content Standards: F.IF.7.a, A.CED.2, F.IF.4, F.IF.5, and F.BF.3

3.  Quadratic Function – a function that has a degree of two  Standard form of a Quadratic Function –  Quadratic Parent Function – the simplest quadratic function

4.  Parabola – the graph of a quadratic function that is a U shaped curve  Axis of symmetry – the line that divides the parabola into two matching halves – x=-b/2a  Vertex – the highest or lowest point of a parabola  Minimum – the lowest point – occurs if a>0  Maximum – the highest point – occurs if a<0

5.  Graphing a Quadratic Function  Find the axis of symmetry – x=-b/2a  Substitute the value of x into the original function and solve for y – this is the vertex  Choose two x-values on one side of the axis of symmetry and substitute those values into the original function. Solve for y.  The previous step results in two points. Graph these points and the corresponding points on the other side of the axis of symmetry.  Draw a parabola containing all of the points.

6.  Pg. 553 – 558  Obj: Learn how to graph quadratic functions.  Content Standards: F.IF.7.a, A.CED.2, F.IF.4, F.IF.8.a, F.IF.9, F.BF.3

7.  Pg. 561 – 566  Obj: Learn how to solve quadratic equations by graphing and using square roots.  Content Standards: A.REI.4.b, N.Q.2, A.APR.3, A.CED.1, and A.CED.4

8.  Roots of the Equation or Zeros of the Function – the x-intercepts of the graph

9.  Pg. 568 – 572  Obj: Learn how to solve quadratic equations by factoring.  Content Standards: A.REI.4.b, A.SSE.3.a, A.CED.1, and F.IF.8.a

10.  Zero Product Property – If ab = 0, then a=0 or b=0

11.  Pg. 576 – 581  Obj: Learn how to solve quadratic equations by completing the square.  Content Standards: A.REI.4.a, N.Q.3, A.SSE.1.a, A.SSE.1.b, A.SSE.3.b, A.CED.1, A.REI.1, A.REI.4.b, and F.IF.8.a

12.  Pg. 582-588  Obj: Learn how to solve quadratic equations using the quadratic formula and find the number of solutions of a quadratic equation.  Content Standards: A.REI.4.a, N.Q.3, A.CED.1, and A.REI.4.b

13.  Quadratic Formula

14.  Discriminant  Positive = two real solutions  Zero = one real solution  Negative = no real solutions

15.  Pg. 589 – 594  Obj: Learn how to choose a linear, quadratic, or exponential model for data.  Content Standards: F.LE.1.a, F.IF.4, F.LE.2, F.LE.3, and S.ID.6.a

16.  Pg. 597 – 601  Obj: Learn how to solve systems of linear and quadratic equations.  Content Standards: A.REI.7, A.CED.3, and A.REI.11

17.  3 Methods  Graphing  Elimination  Substitution