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# Algebra II Video Lessons

### Quadratic functions

### Quadratic equation

### Draw the graph of a quadratic functions

### Transform graph of a quadratic function

### Write the analytical expression from graph

### Find domain of a function

### Inverse function

- Example of proving a square root equality
- How to find the quadratic equation when given two solutions?
- Find property of the parabola y = (1/2) x
^{2}+ 3x + 1

- Solve quadratic equation by root extraction method
- Solve quadratic equation by factoring method
- Solve quadratic equation by completing square method
- Solve quadratic equation using formula method
- Variable substitution example 1
- Variable substitution example 2
- Prove that the value of a polynomial is always larger than zero
- Solve a function equation to find f(x)

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

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

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

- Domain of a function example1
- Domain of a function example 2
- Domain of a function involved in logarithm
- Domain of y = log(2sin x - square root of 3)

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.

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