Algebra 1 Honors

Chapter 9

Quadratic Functions and Equations

Section 1: Quadratic Graphs and Their Properties

Alg. - Ch. 9.1 - Quadratic Graphs and their Properties.pdf

Graphing Quadratic Functions

Identifying a quadratic graph from the equation

Galileo's Falling Bodies | PBS LearningMediaLearn how Galileo mathematically described the physics of falling objects in this video from NOVA: The Great Math Mystery. For thousands of years, people erroneously thought that heavier objects fell faster than lighter ones. It was not until Galileo studied the motion of falling objects that it became clear that, in the absence of air resistance, gravity causes all objects to fall at the same rate. Galileo used ramps to slow down the speed of falling objects so that he could carefully observe and collect data about their motion. Ultimately, he recognized that all falling objects accelerate at the same rate and showed that the distance a falling object travels is directly proportional to the square of the time it takes to fall.

Section 2: Quadratic Functions

Alg. - Ch. 9.2 - Quadratic Functions.pdf

Graphing using the Axis of Symmetry

Graphing Quadratics Using the Axis of Symmetry

Section 3: Solving Quadratic Equations

Alg. - Ch. 9.3 - Solving Quadratic Equations.pdf

Solving quadratics with the square root method

Solving quadratics using the square root method

Alg. - Ch. 9.4 - Factoring to solve quadratic equations.pdf

Find the zero'sFind the zero's of the equation 3x^2 + 15x - 18 = 0

Section 4: Factoring to Solve Quadratic Equations

Factoring to Solve Quadratic Equations

Section 5: Completing the Square

Alg. - Ch. 9.5 - Completing the Square and Vertex Formula.pdf

The article to the right is the proof of completing the square.

Complete the square - Ex 1

Comp the Square ex.2w^2 - 26w - 35 = 0

Completing The Square

Completing the Square when a = 1

Completing the Square when a is > 1

Vertex Form

Vertex Form.pdf

Vertex Form when A is not 1

Vertex Form of a Quadratic Equation

Finding Vertex Form from Completing the Square

Vertex form - another way

Vertex form introductionOne of the common forms for quadratic functions is called vertex form, because it highlights the coordinates of the vertex of the function's graph.

Simplify a radical

Review of simplifying a Radical

It is important to review this before learning the quadratic formula.

Section 6: The Quadratic Formula and the Discriminant

Alg. - Ch. 9.6 - Quadratic Formula.pdf

Solve 2x^2+5x+3=0 w/Quadratic Formulasample problem with the quadratic formula

Quadratic Formula - p1Introduce the formula, 1 basic example

Quad Formula p.2

Quad. Formula p.3

The quadratic formulaWith the quadratic formula, we can solve any quadratic equation! Learn how to use it with an example.

Alg. - Ch. 9.7 - Linear, Quadratic and Exponential Functions.pdf

Write Linear Rule - tableWrite a linear function rule from a table of values

Write Exp FunctionWrite an exponential function from a table of values

system with quadraticquadratic and a line intersect

Section 7: Linear, Quadratic, and Exponential Models

Linear, Quad, Exp -part 1How to tell if a function is Linear, quadratic, or exponential from a graph

Linear, Quad, Exp part 2Identifying linear, quadratic, or exponential functions from a table of values

Write Quad Function (1)Write a quadratic function from a table of values

Write Quad Function (2)Write a quadratic function rule from a table of values

Writing a quad func (3)Another example of writing a quadratic function from a table

Section 8: Systems of Linear and Quadratic Equations

Alg. - Ch. 9.8 - Systems of Linear and Quadratic Equations.pdf

Using Substitution to Solve a System Containing Linear and Quadratic Equations

Linear and quadratic systems — Basic exampleWatch Sal work through a basic Linear and quadratic systems problem.

Dr. Loh's New way to solve quadratics

Dr. Loh's Way to Solve Quadratics.pdf

Chapter 9 Resources

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