3D Grapher! :)

http://www.livephysics.com/ptools/online-3d-function-grapher.php#add

(becauses Blogger hates the fact that I'm stealing code....)

Dimensions of a Matrix

The dimensions of a matrix refer to the number of rows and number columns of a given matrix.

The rows of a Marix go horizontally.

The columns of a Marix go vertically.

To find the dimensions of a matrix you must multiply the (number of rows x the number of columns). All three of these above matrices would be 2x3 (or 2 by 3).

Error Analysis

The value of x is going up by 5, so the slope should be 2 and not 10/1. By plugging in the points, the final equation should be solved. With this answer, y is not equal to 9+10x in the t-chart.

In order for a point to be the solution to a system, it has to solve both equations. So point (1,-2) solves the first equation, but not the second equation.

For problem #22 the shading is right, but the line should be dotted, not soild. For problem #23 the solid line is right, but the shading should be above it, not below it.

For problem #20 the shading is correct, but the line should be dotted not solid. For problem #21 the sloid line is right, but the shading should be below it not above it.

Absolute Value Euqations

Standard Form:
y = a|x – h|+ k

Parent Function:
y=|x|

y=a|x| (y=2|x|) Horizontal stretch by +2

y=a|x-h| (y=2|x-2|) Horizontal stretch by +2 and Horizontal shift +2

Systems of Equations

What are the types of Equation Systems?

Inconsistent - No solutions

Same slope, different y intercepts the lines are parallel

Consistent and Dependent - All Numbers (infinitely many)

Same slope, same y intercept

SAME LINE

Consistent and Independent - 1 solution (x, y)

different slopes