1.) Lesson On Vertex and Axis Of Symmetry (A.O.S.) 2.) Assignment Learning Objectives: Students will be able to find the vertex and A.O.S. of a quadratic function. Agenda CA STANDARDS 8.0: Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. 9.0: Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions.

x y quadratic function A quadratic function - has the form U parabola.  Has a U -shaped graph called a parabola.  Examples : The lowest or highest point on the graph is called the vertex. Standard Form (0, 0)(-2, -1) All parabolas can be divided in half about the axis of symmetry. x = 0 x = -2

Check for Understanding What do you call the line that divided the parabola in half? AOS: Axis of Symmetry What do you call the lowest or the highest point on the parabola? Vertex

 Example 1: a.) Vertex: (x v, y v ) (2, -2) b.) Axis of symmetry: x = 2x = 2x = 2x = 2 Same as x v value of Vertex! Write this !

a.) Vertex: (2, -2) b.) Axis of symmetry: x = 2x = 2x = 2x = 2 c.) y-intercept: (0, ) 6 x y Let’s graph these !  Example 1:

 Example 2: a.) Vertex: Plug in x to find y ! (x v, y v ) (0, 1) b.) Axis of symmetry: x = 0x = 0x = 0x = 0 Same as x v value of the Vertex! Write this !

Write this ! a.) Vertex: (0, 1) b.) Axis of symmetry: x = 0x = 0x = 0x = 0 c.) y-intercept: (0, ) 1 x y Let’s graph these ! x = 1 (1, -2) Same as vertex !!!  Let’s create another point !!!  Example 2:

 You Try: a.) Vertex: Plug in x to find y ! (x v, y v ) (1, -1) b.) Axis of symmetry: x = 1x = 1x = 1x = 1 Same as x v value of the Vertex! Write this !

 You Try: Pencils Down ! a.) Vertex: (1, -1) b.) Axis of symmetry: x = 1x = 1x = 1x = 1 c.) y-intercept: (0, ) 2 x y Let’s graph these !