Comparing Linear and Quadratic data
by NIcolas Jones
1. Is any equation having the form where x represents an unknown, and a, b, and c represent numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic.
2. Quadratic Data
3. Definition
4. Graph examples
5. How to graph a Quadratic data
6. How to solve a Quadratic problem
6.1. When solving Quadratic problem the first thing you do is find the axis of symmetry. Ex : y= x^2 + 2x - 3 -2/2(1)= -1
7. Next it is time to find to solve the problem. To solve the problem you would replace the x with the answer for the axis of symmetry. Ex : y= x^2 + 2x - 3 y= -1^2 +2*(-1) - 3 y= -6
8. Quadratic Data in real life
8.1. Two blocks are dropped, one from a height of 400 feet and the other from a height of 256 feet. The functions are h(t) = -16t^2 + 400 and h(t) = -16t^2 + 256.
9. How to solve a Linear problems
10. graph
11. Definition
12. Linear Data
12.1. Is a Linear equation is an algebraic equation.
12.1.1. y = 4x + 3, in which the variables are of the first degree. The graph of such an equation is a straight line.
13. Examples
14. Step 1: You need to combine like terms. Ex:2x+5x+6=8 so when combing like terms you get 7x+6=8.
14.1. Step 2: on both sides of the equation, we can simply subtract or add the non-variable terms. Ex:7x+6=8 will become 7x=14
14.1.1. Now we need to simplify the relationship. Divide both sides by common factors. Ex: 7x=14 divide both sides by 7 and you will get x = 2