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Algebra 2 Video Lessons

Roots of quadratic equation

• Quadratic equation 2x² - 5x + m = 0 has real roots, find range of m

Property of quadratic functions

• Find property of the parabola y = (1/2) x² + 3x + 1

Quadratic equation variable substitution method

• Variable substitution example 1
• Variable substitution example 2

Quadratic equation root extraction method

• Solve quadratic equation by root extraction method

Quadratic equation factoring method

• Solve quadratic equation by factoring method

Quadratic equation completing square method

• Solve quadratic equation by completing square method
• Prove that the value of a polynomial is always larger than zero

quadratic equation formula method

• Solve quadratic equation using formula method

Roots and coefficient of quadratic equation

• How to find the quadratic equation when given two solutions?

Draw the graph of a quadratic function

• Draw the graph of the quadratic function y = x² - 4x + 5
• Draw the graph of the quadratic function y = -2x² - 8x + 1
• Relation between the graph of a quadratic function and is coefficients

Transform graph of a quadratic function

• Transform the graph of y = (1/2)x² to y = (1/2)(x - 3)² - 2
• Transform the graphs of y = -x² - 2x to y = -x² + 4x - 3
• How to transform the graph of y = 2x² to y = 2x² + 12x + 17?

Write the analytical expression from graph

• Find the quadratic function by three points on the graph
• How to find the quadratic function from graph?

Domain of a function

• How to find the domain of a function?
• How to find the domain of a function involved in logarithm?

Inverse function

• How to find the value of an inverse function?
• How to find the inverse function?

Function equation

• Solve a function equation to find f(x)

More examples of algebra 2 can be found by go to the home math page, from there click the Video Lessons button, then scroll down to find algebra 2 section. This section will be continue developed.

The purpose of this website is to help students understand the topic of the mathematics talked in class. Help students improve the ability of self-studding. Hope students could listen carefully to the video and do the example your-self in order to find which concept to apply to solve this kind of problem, and review them later. Hope students could spend time on most important things such as, reading, writing, mathematics and science.

Mathematics can be self-learning. By good understanding mathematics, you can graduate from college no more than four years. So, you need to set a goal and works for your future, make progress each day, and get confident about yourself. Do each example yourself will help deep understanding those concepts in these topics. Opportunity is always for those who are prepared.