Flashcards in C2 Deck (21):

1

##
y = x^2 - 1 translated by (a)

(b)

### (y-b) = (x-a)^2 - 1

2

## y = -f(x)

### reflection in x axis

3

## y = f(-x)

### reflection in y axis

4

## arithmetic sequence

###
each term is found by adding a fixed number (common difference) to the previous one

e.g u1 = a

u2 = u1 + d

u3 = u2 + d

5

## formula to find a term in an arithmetic series

###
Un = a + (n-1)d

a being the first term

d being the common difference

6

## sum of a certain number of terms

###
1/2n(a+l)

l being the last given term

OR

1/2n(2a+ (n-1)d)

7

## geometric sequence

### each term is found by multiplying the previous term by a fixed number (common ratio)

8

## nth term of geometric series

###
U1 = a

U2 = ar

U3 = ar^2

a being first term

r being the common ratio

9

## sum of a geometric series

### Sn = a(1-r^n)/1-r

10

## sum to infinity of a geometric series

###
a / 1 - r

if -1 < r < 1

11

## (1 + x)^n =

###
1 + (n)x + (n)x^2 + (n)x^3

(1) (2) (3)

12

## cosine rule

### a^2 = b^2 + c^2 -2bccosA

13

## sine rule

### a/sinA = b/sinB

14

## area of a triangle

### 1/2absincC

15

## length of an arc

###
l = rθ

16

## area of sector

### 1/2(r^2)θ

17

## sin^2x + cos^2x =

### 1

18

## sinx/cosx =

### tanx

19

## y = a^x

###
positive for all values of x

always passes through point (0,1)

20

## y = a^x =

### x = loga y

21