U4-S3-L2 Quadratic Functions Essential Questions: How do you graph y=ax 2 + bx + c? How do you graph quadratic inequalities?

Parabolas Find the vertex and axis of symmetry.

Axis of Symmetry If the quadratic has no zeros, then you use the formula: Axis of Symmetry: This formula also works when you don’t have a graph.

Ex 4 – Finding the Vertex of a Parabola To find the VERTEX when you don’t have a graph: 1)Use to find the x value 2)Plug in x to find the y value 3)Write vertex (x,y)

Formula Axis of Symmetry Formula: use the formula when you don’t have a graph. The vertex is on the axis of symmetry

Graphing To graph the parabola y=ax 2 + bx +c: 1)Find the axis of symmetry using x= -b/2a 2)Make a table of 3-5 points around the axis of symmetry to find the vertex 3)Plot the points and connect with a curve

Practice 1) f(x) = x 2 + 2x + 1

Practice 2) y = 3x 2 – 6x + 1 2) y = 3x 2 – 6x + 1

Graphing Inequalities You may have to shade graphs like we did in chapter 6. ParabolaOpens UPOpens Down < DASH Shade OUTSIDE DASH Shade INSIDE < SOLID Shade OUTSIDE SOLID Shade INSIDE > DASH Shade INSIDE DASH Shade OUTSIDE > SOLID Shade INSIDE SOLID Shade OUTSIDE

Practice 3) f(x) > x 2 -3x + 2

Practice 4) y < 2x 2 + x - 1

Summary Answer the essential questions in detailed, complete sentences. How do you graph y=ax 2 + bx + c? How do you graph quadratic inequalities? Write 3-5 study questions in the left column to correspond with the notes.