P1 and P2 Math

Question 1

Graph f(x+3)

Answer 1

Move 3 to the left

Question 2

Graph f(X-2)

Answer 2

Move 2 to the right

Question 3

Graph f(2x)

Answer 3

Stretch (left and right) x by a factor of half

Question 4

Graph f(x/3)

Answer 4

Stretch (left and right) x by a factor of 3

Question 5

Graph f(x) + 3

Answer 5

Move up by 3

Question 6

Graph 3f(x)

Answer 6

Stretch (upwards and downwards) y by a factor of 3

Question 7

Sin Graph

Answer 7

(0,0), (90, 1), (180,0), (270,-1), (360,0)

Question 8

Cos Graph

Answer 8

(0,1), (90,0), (180,-1), (270,0), (360, 1)

Question 9

Tan Graph

Answer 9

(0,0), (45,1), (135, -1), (180,0), (225,1), (360,0)

Asymptotes at 90 and 270

Question 10

Tanx =

Answer 10

Sinx / Cosx

Question 11

Cos squared x + Sin squared x =

Answer 11

1

Question 12

Differenciation

Answer 12

dx/dy = nax^(n-1)

Question 13

Number of Differentiation

Answer 13

f(x) = Original Equation
f1(x) or dx/dy = Differentiate Once
fn(x) or d^2y/dx^2 = Differentiate Twice

Question 14

Finding Volume, Area, Length using differenciation

Answer 14

Volume to Area = Differentiate once

Area to Length = Differentiate twice

Question 15

Finding the tangent to a curve using differentiation

Answer 15

1) Differentiate
2) Substitute x coordinate in and you’ll get gradient
3) Sub coordinates and gradient into y - y1 = m(x-x1)

Question 16

Finding the normal to a curve using differentiation

Answer 16

1) Differentiate
2) Substitute x coordinate in and you’ll get gradient
3) Find perpendicular gradient
3) Sub coordinates and gradient into y - y1 = m(x-x1)

Question 17

Arithmetic Sequence

Answer 17

Sequence goes up by a constant term each time

Question 18

Sum of Arithmetic Sequence

Answer 18

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

Question 19

Geometric Sequence

Answer 19

Sequence with a common ratio. You multiply from one term to the next. etc. a, ar, ar^2

Question 20

Sum of Geometric Sequence

Answer 20

a(1-r^n) / 1 - r

Question 21

Sum to infinity of a geometric sequence

Answer 21

a / 1 - r

Question 22

Sequence vs Series

Answer 22

Sequence: order of increasing numbers
Series: Sum of terms

Question 23

Converging Series

Answer 23

Series that add up to a number

Question 24

Diverging Series

Answer 24

Series that reaches infinity

Question 25

Discriminant

Answer 25

b^2 - 4ac

Question 26

Discriminant with no solution

Answer 26

b^2 - 4ac < 0 (no real roots)

Question 27

Discriminant with 1 solution

Answer 27

b^2 - 4ac = 0 (equal roots)

Question 28

Discriminant with 2 solutions

Answer 28

b^2 - 4ac > 0

Question 29

Arc length of radian formula

Answer 29

Radian x Radius

Question 30

360 degrees =

Answer 30

2pi radians