Products and Quotients – (Differentiation)

A function is a transformation that gives a single output for a given input. The transformation is according to a rule. The rule varies depending on the type of the function. For example, for the function f(x) = 2x, the rule is simple, i.e., “double the input”. The function can be plotted on x-y coordinate … Read more

Transformation (Algebra Function)

In this section, we will study “how to transform a function, without evaluating its value”. After reading this article you will be able to understand transformation. You can translate, rotate or shift any graph easily. Contents Introduction Types of transformation Methodology  Practical examples Introduction Transformation is a basic technique to make graphs of function without … Read more

Algebraic Surds

LEARNING OBJECTIVES:  To define algebraic surds To perform operations involving surds To simplify and rationalize surds MATH CONCEPTS SURDS- It is a root of a positive real quantity where its value cannot be exactly determined. It is an irrational number which cannot be simplified and usually in the form of , n is the order … Read more

Arithmetic Series

LEARNING OBJECTIVES: To define and illustrate arithmetic seriesTo solve for the value of an arithmetic seriesTo apply the concepts of arithmetic series to solve real-life problems MATH CONCEPTS ARITHMETIC SERIES – it is the sum of the terms in an arithmetic sequence/progression. GENERAL FORMULA FOR ARITHMETIC SERIES – It is a formula to be used … Read more

Complete the Square

In this section, we will learn, “how to complete square of the quadratic equation” and able to find the “solution of the quadratic equation”. Introduction Completing the square of any quadratic equation helps us to find the solution of the quadratic equation and gives us a vertex form of any quadratic equation. By vertex form, … Read more

Trigonometric Graphs

Introduction What do you get when you join three distinct points, that are not located on a single line, in a plane? That is right, a triangle. Triangles appear to be simple and innocent. In fact, a triangle is the simplest polygon (a closed 2-D shape with straight sides). Ironically, in mathematics there is a … Read more