Quadratic Functions

This is how to identify Quadratic Functions:
The standard Form is: ax² + bx + cy² + dy + e= 0
Circle Equation- A=C
So for example X²+Y²=9. So the center is at the origin. And the radius is 3.

Parabola- A or C = 0
For example: X²+4X+4. So the intercepts are at 2 on the x axis and 4 on the y.

Hyperbola- A or C has different signs from each other
For example: (X²/A²) - (Y²/B²) = 1
The two red lines are asymptotes. Or lines the hyperbola will continue to try to reach but will never reach.
Ellipse- A is not equal to C. However the signs are still the same.
For example: x²/16 + y²/4 = 1

Dimensions of a Matrix

                                                                    Row x coloum

The rows of a matrix are the numbers going horizontally.

[4 2 3]

The columns of a matrix are the numbers going vertically.

[2]

[3]

[5]

Multipying Matrices

2x(1 times 1)x9

The numbers show that the matrices can be multiplied, since the inside numbers are the same.

3)x1 times 1x(2

The outside numbers become the dimensions for the product matrix.

After you determined that the matrices can be multiplied, then you start to multiply them together. To do this, you would multiply the first row of the first matrix with the column of the second matrix. More specifically, you would multiply the first number of the first row on the first matrix with the first number of the first column of the second matrix. You then add the products together and thats the first number of the product matrix. You repeat this until all the numbers of both the matrices have been multiplied, giving you your product matrix.