Chapter+4


 * //4.2- Transform figures on a coordinate plane using reflections, translations, dilations, and rotations.//**
 * Notes: Reflections-** When you reflect over the x value/axis, you multiply the y value/axis by -1. When you reflect it over the y value/axis, it changes the x value/axis, and vise versa. **Translation-** When you add to x value/axis, it goes to the right, and if you subtract from x value/axis, it goes to the left. When you add to y value/axis, it goes to the up, and if you subtract from the y value/axis, it goes down. **Dilations-** When you use y value/axis and multiply it, it gets taller, and when you use x value/axis and multiply it, it gets fatter. In order to get a true dilation, when you divide or multiply, the number you use has to be the same on the y value/axis and x value/axis. **Rotations-** A rotation is known for a turn.
 * //4.3-//** **//Represent relations as sets of ordered pairs, tables, mappings, and graphs.//**
 * Notes:** Ordered pair is an example of 2 numbers. Ex. (2, 3), (-5, 3). A coordinate plane has an x and y axis. y goes up and down, and x goes left and right.
 * //4.4- Use an equation to determine he range of a given domain. Graph the solution set for a given domain.//**
 * Notes:** Equation: y + x = 10. **Standard form-** ax + by = c. Ex. - x + y = 7, 2x + 3y = 24. Any equation that can be written in standard form is a linear equation. **Slop intercept form-** y = mx + b. Ex. - y = 3x - 4, y = 2x + 1.
 * //4.5- Determine whether a relation is a function. Find function values.//**
 * Notes:** Function: 1 x value for each y value.
 * //4.7- Recognize and extended arithmetic sequences. Create formulas for arithmetic sequences.//**
 * Notes:** 2, 4, 6, 8, 10, next 3 are 12, 14, and 16. For that sequence, you had to add 2 to the number before it. 2 + 2(n - 1), the first 2 is value of first term. The next 2 is the common difference. The "n" is the desired term or the answer. And the -1 is to find the term before, how many behind the desired term. That formula is an example, all parts can be changed based on the problem, besides the -1. Starting value + Common difference (**desired term, the answer you want** - number before, which is -1). 7, 6, 5, 4 is arithmetic, 9, 5, 1, -5 is not because pattern is not the same.
 * //4.8- Find a pattern. Write an equation/rule for a given solution.//**
 * Notes:** 4x + 1, 4x + 2, 4x + 3, 4x. Desired term = commom difference or # of objects * item # or term #. a + term². Common difference in a table is your slope. Slope equation is y = mx + b.