Bellwork  Identify the domain and range of the following quadratic functions

Quadratic Functions Determine the Domain and Range of a quadratic function Identify parts of the quadratic function and parabola

Quadratic Function Quadratic Term Linear Term Constant Term

Parabola The graph of a quadratic equation is a called a parabola

Vocabulary!  Symmetry: When something is symmetrical, it’s opposite sides are mirror images of each other  Axis of symmetry: a line through the graph of a parabola that divides the graph into two congruent halves  Vertex: The one point where the axis of symmetry will intersect the graph

Axis of symmetry, vertex, y- intercept,  The equation of the axis of symmetry is  The x-coordinate of the vertex is  The y-intercept is the constant term c in the general form of the quadratic function

I Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.

We Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.

You Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.

Bellwork  Describe how to find the x-coordinate of the vertex, axis of symmetry and the y intercept of a quadratic function

I Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,9) Equation of the axis of symmetry: x=3/4 X-coordinate of the vertex: 3/4

We Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,5) Equation of the axis of symmetry: x=0 X-coordinate of the vertex: 0

You Do  Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,-10) Equation of the axis of symmetry: x=3/2 X-coordinate of the vertex: 3/2

I Do Consider the function f(x) = –x 2 + 2x + 3. Determine whether the function has a maximum or a minimum value, state the minimum or maximum value.

We Do Consider the function f(x) = x 2 + 4x – 1. Determine whether the function has a maximum or a minimum value.

You Do  Find all of the information for the above function:  y-intercept  Equation of the axis of symmetry  The vertex  Determine if the function will have a maximum or minimum value  Find the maximum or minimum value  Graph the function  Determine the domain and range of the function