**Equations Formula:**

Here in this page we will discuss all basic concept of Equations Formula. So, let’s get started.

Advertisement

What is linear equation ?

when equation between two variables that gives a straight line when plotted on a graph its called linear equation.

Advertisement

ax + b = 0, a ≠ 0 ⇒ x = – b / a

**Two Linear Equations :**

#### a_{1} x + b_{1} y = c_{1} a_{1} / a_{2} ≠ b_{1} / b_{2}

a_{2} x + b_{2} y = c_{2}

Advertisement

**Exponential Equation :**

- a
^{x}= c, a > 0 - If c > 0, a ≠ 1 : So one root x = log
_{a}c

If c = 1, a = 1, So many roots,

If c ≠ 1, a = 1, So no solution,

If c ≤ = 0, no So no solution,

Advertisement

**Logarithmic Equations :**

loga_{a} x = c (a > 0, a ≠ 1)

x = a ^{c}

Advertisement

**Function Transformation Rule:**

**Horizontal Shifting :**

**g(x) = f(x – c)**

Advertisement

**Vertical Shifting :**

## g(x) = f(x) + c

## Stretching :

## g(x) = c f(x), 0 < c < 1

## h(x) = D f(x), D > 1

**Reflection :**

## g(x) = f(-x)

## h(x) = -f(x)

**Exponential Inequation :**

- α
^{A}(x) > a^{B}(x) - α > 0, A(x) > B(x)
- 0< α < 1, A(x) < B(x)

Advertisement

**Logarithmic Inequation :**

loga α(x) = loga β(x)

- a > 1:
- β(x) > 0 , α(x) > β(x)

- 0<a<1:
- α(x) > 0, α(x) < β(x)

Advertisement

**Other Functions Graph:**

## Square Root :

**Parabolic:**

Advertisement

**Reciprocal :**

**Cubic :**

**Sec :**

**Cosec :**

Advertisement

**Absolute :**

**Constant :**

Advertisement

We provide few shortcut tricks on this topic. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.

If you have any question regarding this topic then please do comment on below section. You can also send us message on facebook.

GOOD