Quadratic Relations and Functions

Characteristics of Parabolas

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.

The y-intercept is the point at which the parabola crosses the y-axis. The x-intercepts are the point(s) at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of x at which y=0.

Day 1 W 1/23 & B 1/24

5-1 Quadratic Functions - Vertex (Min/Max)

IC: Quadratic f(x): Vertex 5 - 12

Day 2 W 1/27 & B 1/28

5-1 Quadratic Functions - Vertex (Min/Max)

IC: Quadratic f(x): Vertex 5 - 12

Day 3 W 1/28 & B 1/29

5-2 Quadratic Functions - Y-intercept

IC: Quadratic f(x): Y-intercept 3 - 8

Day 4 W 1/30 & B 1/31

5-3 Quadratic Functions - Axis of Symmetry

IC: Quadratic f(x): Axis of Symmetry 2 - 6

Day 5 W 2/4 & B 2/3

Quadratic Functions - Review

IC: 1 - 10

Day 6 W 2/6 & B 2/5

Quadratic Functions - Quiz

5.4 Quadratic Functions: Discriminant

IC: 1 - 10

Day 7 W 2/14 & B 2/11

5.5 Quadratic Functions: X-intercepts using Quadratic Formula

IC: 1 - 10

Day 8 W 2/25 & B 2/24

5.5 Quadratic Functions: X-intercepts using Quadratic Formula

IC: 1 - 6

Day 9 W 2/7 & B 2/26

Review - Graphing Quadratics

IC: 1 - 4

Day 10 W 3/2 & B 2/28

Quiz - Graphing Quadratics

Day 9 W 3/4 & B 3/3

5.6 Modeling with Quadratic Functions

- Sample Problems

- Graph Paper

IC: 1 - 6 (All problems are to be graphed with axes labeled, critical values [vertex, y-ints, and x-ints] plotted, and questions answered [using context from the problem])

Day 10 W 3/6 & B 3/5

5.6 Modeling with Quadratic Functions

IC: 1 - 6 (All problems are to be graphed with axes labeled, critical values [vertex, y-ints, and x-ints] plotted, and questions answered [using context from the problem])

Day 11 W 3/10 & B 3/9

5.6 Modeling with Quadratic Functions

IC: 1 - 6 (All problems are to be graphed with axes labeled, critical values [vertex, y-ints, and x-ints] plotted, and questions answered [using context from the problem])

Day 12 W 3/12 & B 3/11

Unit 5 - Review

Day 13 W 3/14 & B 3/13

Unit 5 - Exam