The document discusses quadratic equations and functions. It provides objectives of solving quadratic equations by factoring and graphing. It defines the zero of a function as where the graph crosses the x-axis. Examples are given of solving quadratic equations by factoring using the zero product property. Another example solves a quadratic equation graphically. Homework problems from the text are assigned.

1. 4-5 QUADRATIC EQUATIONS
Chapter 4 Quadratic Functions and Equations
©Tentinger

2. ESSENTIAL UNDERSTANDING AND
OBJECTIVES
 Essential Understanding: Standard Form: to find
zeros of a quadratic function y = ax2 + bx + c, solve
the related quadratic equation = ax2 + bx + c
 Objectives:
 Students will be able to:
 Solve quadratic equations by factoring
 Solve quadratic equations by graphing

3. IOWA CORE CURRICULUM
 Algebra
 A.SSE.1a. Interpret parts of an expressions, such as
terms, factors, and coefficients
 A.APR.3. Identify zeros of polynomials when suitable
factorizations are available, and use the zeros to
construct a rough graph of the function defined by the
polynomial.
 A.CED.1. Create equations and inequalities in one
variable and use them to solve problems. Include
equations arising from linear and quadratic
functions, and simple rational and exponential functions.
 A.CED.2. Create equations in two or more variables to
represent relationships between quantities; graph
equations on coordinate axes with labels and scales.
(concept byte)

4. ZERO
 What do you think when I say the zero of a
function?
 Zero of a function is where the graph crosses the x-
axis.
 You can solve quadratic equations in standard form
by factoring, using the zero product property
 Zero product property: if ab = 0, then a = 0 or b =
0

5. EXAMPLE
 Solving a Quadratic Equation by Factoring
 What is the solution to:
 x2 – 7x +12 = 0
 x2 + 3x -18 = 0

6. EXAMPLE
 Solving by Graphing
 What is the solution to:
 4x2 – 14x + 7 = 4 – x
 x2 +2x = 24

7.  The function y = -0.03x2 + 1.6x models the path of a
kicked soccer ball. The height is y, the distance is
x, and the units are in meters. How far does the
soccer ball travel?
 How high does the soccer ball go?
 Describe a reasonable domain and range for the
function.

8. HOMEWORK
 Pg. 229 – 230
 # 9 – 14, 33 – 36, 41, 47 – 52, 59