## Unit 3 Quadratics

Warm Up: p.234 #1-14

**Section 1 - (4.2) Graph Quadratic Functions in Vertex or Intercept/Factored Form**

- I can recognize the 3 different forms of a quadratic equation
- I can graph a quadratic function in vertex form
- I can graph a function in the form y = ax^2
- I can graph a function in the form y = ax^2 + c
- I can use a quadratic model in vertex form
- I can graph a quadratic function in intercept form
- I can use a quadratic model in intercept form
- I can change a function from intercept form to standard form
- I can change a function from vertex form to standard form

**Section 2 - (4.3 - 4.4)**

**Solve ax^2 + bx + c = 0 by Factoring**

- I can factor trinomials of the form ax^2 +bx + c
- I can factor with special patterns
- I can factor monomials first
- I can use a quadratic equation as a model
- I can solve quadratic equations

**Section 3 - (4.5) Solve Quadratic Equations by Finding Square Roots**

- I can use properties of square roots
- I can use conjugates to rationalize the denominators
- I can use square roots to solve equations with no first degree term
- I can model a dropped object with a quadratic function

**Section 4 - (4.6) Perform Operations with Complex Numbers**

- I can evaluate powers of i
- I can add complex numbers
- I can subtract complex numbers
- I can multiply complex numbers
- I can divide complex numbers

**Section 5 - (4.7) Complete the Square**

- I can find the value of c that makes a perfect square trinomial
- I can solve an equation in the form x^2 + bx + c = 0 by completing the square
- I can solve an equation in the form ax^2 + bx + c = 0 by completing the square
- I can write a quadratic function in vertex form
- I can find the maximum or minimum value of a quadratic functions

**Section 6 - (4.8) Use the Quadratic Formula and the Discriminant**

- I can solve an equation with two real solutions
- I can solve an equation with one real solution
- I can solve an equation with imaginary solutions
- I can use the discriminant to find the number and type

**Section 7 - (4.1 & 4.9)**

**Graph Quadratics Functions and Inequalities in ANY Form**

- I can graph any function in the form y = ax^2 + bx + c by completing the square, factoring, or using the x= -b/(2a) to find line of symmetry
- I can graph any quadratic function in ANY form, such as y = ax^2 + bx + c, y = p(x-q)(x-p), or y = a(x-h)^2 + k
- I can find the maximum and minimum value of a quadratic equation
- I can graph a quadratic inequality
- I can use quadratic equations and inequalities is really life scenarios
- I can graph and solve systems of quadratic equations or inequalities

**Section 8 - (4.10) Write Quadratic Functions and Models**

- I can write a quadratic function in vertex form
- I can write a quadratic function in intercept form
- I can write a quadratic function in standard form
- I can use my graphing calculator find the best fitting quadratic model for a real life scenario

__Table of Contents__- Syllabus
- Calendar
- Section 1 p.417 #3-13odd, 21-31odd,35-45odd,49,51-57odd,60
- Section 2 p.249 #3-41odd
- Section 3 p.255 #3-55odd,67, 70
- Section 4 p.263 #3-61odd,63,64,66
- Section 5 p.269 #3-33odd,41
- Section 6 p.279 #3-55odd,65-67
- Section 7 p.288 #13-33odd