A quadratic function is any function that can be written in the form , where a, p, and q and . This is called the standard form, or the vertex form of the equation of a quadratic function. This form is the combination of three transformations. * The effect of changing q in . Changing […]
**In graphing linear equation, there are some formulas: y = mx + b: slope intercept form With: x,y: variables b: y-intercept m: slope. m = *All y-intercept forms are developed from the simplest form: y = x After that, the coefficient m in front of x is added, known as the slope or stretching number. […]
* General form: There are three ways to solve quadratic equations: – Factoring – Using the Quadratic Formula: – Making perfect square *To check if a trinomial can be factored, calculate . – If the result is a natural number, that expression can be factored. – If the result is greater than 0 and not […]
*Trinomials general form: **Factoring process: – Step 1: Remove the common factor to get integer coefficients. Then remove another common factor to get smallest integer coefficients possible. – Step 2: Think of two numbers that have their sum equals to B, and their product equals to AC – Step 3: Use the two numbers as […]
*Simplifying Expressions with Numerical Radicands: -Example: (Mulitiplying coeficients, radicands seperately; then add up the like terms) 1. ()() = = = = = = 2. = = =25.3 – 9.7 =12 3. () = = = = = 4. = = *Dividing: Express as fractions – Rationalizing ** A Monomial Denominator: Multiply the numerator and […]
In radical, there are some basic knowledge: where: a: coefficient b: radicand ( if i is an even number) i: index * Simplify radicals – Square root: (Divide the radicand by the perfect square starting from the smallest number to create factors from the radicand.) Example: = = =3.3 =9 = = = = = […]
In a Geometric Sequences, each term is found by multiplying the previous term by a constant called the “common ratio.” In general, we could write an arithmetic sequence like this: {, .r, .r^2, .r^3,…} where: is the first term r is the “common ratio” We can write a Geometric Sequence as a formula: = .r^(n-1) […]
In an Arithmetic Sequence, the diiference between one term and the next one is a constant called the “common difference.” In general, we could write an Arithmetic Sequence like this: {, +d, +2d, +3d,…} where: is the first term d is the “common difference” Example 1: My Arithmetic Sequence: -10, -3, 4, 11, 18, 25. […]