Quadratic Functions

Learning tasks

A) Forms of the Quadratic Function
I) Standard Form
1) Identifying Coefficients from Standard Form	Ex 1 Ex 2 Ex 3 Ex 4
2) Recognizing Quadratic Functions	Ex 5 Ex 6 Ex 7 Ex 8
3) Evaluating Quadratic Functions	Ex 9 Ex 10 Ex 11
II) Vertex Form
4) Converting Vertex Form to Standard Form	Ex 12 Ex 13 Ex 14 Ex 15
5) Converting Standard Form to Vertex Form	Ex 16 Ex 17 Ex 18
III) Factored Form
6) Converting Factored Form to Standard Form	Ex 19 Ex 20 Ex 21
7) Converting Standard Form to Factored Form	Ex 22 Ex 23 Ex 24 Ex 25 Ex 26
B) Analysis and Graphing of Parabolas
I) The Base Parabola: \(y\equal x^2\)
8) Analyzing the Base Parabola	Ex 27 Ex 28 Ex 29 Ex 30
II) Vertex Form and Transformations
9) Sketching Transformations of \(y\equal x^2\)	Ex 31 Ex 32 Ex 33
10) Identifying Features from Vertex Form	Ex 34 Ex 35 Ex 36
11) Finding the Equation from Key Features	Ex 37 Ex 38 Ex 39 Ex 40
III) Factored Form and x-intercepts
12) Finding Key Features from Factored Form	Ex 41 Ex 42 Ex 43
13) Finding the Equation from Key Features	Ex 44 Ex 45 Ex 46 Ex 47
14) Sketching Graphs from Factored Form	Ex 48 Ex 49 Ex 50
IV) Standard Form and the Discriminant
15) Finding Key Features from Standard Form	Ex 51 Ex 52 Ex 53
16) Finding and Classifying the Vertex	Ex 54 Ex 55 Ex 56
17) Using the Discriminant to Find the Number of Roots	Ex 57 Ex 58 Ex 59 Ex 60
18) Solving Parameter Problems with the Discriminant	Ex 61 Ex 62 Ex 63 Ex 64
19) Finding the Equation of a Parabola from Key Features	Ex 65 Ex 66 Ex 67 Ex 68
20) Finding the Equation of a Parabola from a Graph	Ex 69 Ex 70 Ex 71 Ex 72
C) Applications of Quadratic Functions
I) Intersection of Curves
21) Finding Intersection Points Algebraically	Ex 73 Ex 74 Ex 75
22) Solving Inequalities by Graphing	Ex 76 Ex 77 Ex 78
II) Quadratic Optimisation
23) Modeling and Optimization Problems	Ex 79 Ex 80 Ex 81 Ex 82

Lesson
Text book

Exercises Correction
A) Forms of the Quadratic Function
    I) Standard Form
      1) Identifying Coefficients from Standard Form Ex 1 Ex 2 Ex 3 Ex 4
      2) Recognizing Quadratic Functions Ex 5 Ex 6 Ex 7 Ex 8
      3) Evaluating Quadratic Functions Ex 9 Ex 10 Ex 11
    II) Vertex Form
      4) Converting Vertex Form to Standard Form Ex 12 Ex 13 Ex 14 Ex 15
      5) Converting Standard Form to Vertex Form Ex 16 Ex 17 Ex 18
    III) Factored Form
      6) Converting Factored Form to Standard Form Ex 19 Ex 20 Ex 21
      7) Converting Standard Form to Factored Form Ex 22 Ex 23 Ex 24 Ex 25 Ex 26
B) Analysis and Graphing of Parabolas
    I) The Base Parabola: \(y\equal x^2\)
      8) Analyzing the Base Parabola Ex 27 Ex 28 Ex 29 Ex 30
    II) Vertex Form and Transformations
      9) Sketching Transformations of \(y\equal x^2\) Ex 31 Ex 32 Ex 33
      10) Identifying Features from Vertex Form Ex 34 Ex 35 Ex 36
      11) Finding the Equation from Key Features Ex 37 Ex 38 Ex 39 Ex 40
    III) Factored Form and x-intercepts
      12) Finding Key Features from Factored Form Ex 41 Ex 42 Ex 43
      13) Finding the Equation from Key Features Ex 44 Ex 45 Ex 46 Ex 47
      14) Sketching Graphs from Factored Form Ex 48 Ex 49 Ex 50
    IV) Standard Form and the Discriminant
      15) Finding Key Features from Standard Form Ex 51 Ex 52 Ex 53
      16) Finding and Classifying the Vertex Ex 54 Ex 55 Ex 56
      17) Using the Discriminant to Find the Number of Roots Ex 57 Ex 58 Ex 59 Ex 60
      18) Solving Parameter Problems with the Discriminant Ex 61 Ex 62 Ex 63 Ex 64
      19) Finding the Equation of a Parabola from Key Features Ex 65 Ex 66 Ex 67 Ex 68
      20) Finding the Equation of a Parabola from a Graph Ex 69 Ex 70 Ex 71 Ex 72
C) Applications of Quadratic Functions
    I) Intersection of Curves
      21) Finding Intersection Points Algebraically Ex 73 Ex 74 Ex 75
      22) Solving Inequalities by Graphing Ex 76 Ex 77 Ex 78
    II) Quadratic Optimisation
      23) Modeling and Optimization Problems Ex 79 Ex 80 Ex 81 Ex 82