Core 1

Question 0

y=mx+c

Answer 0

m = gradient
c = y intercept

Question 1

Gradient

Answer 1

Change in y divided by change in x

Rise over tread

Question 2

Tangent and Normal

Gradient

Answer 2

The gradient of the normal is the negative reciprocal of the gradient of the tangent

Question 3

General Form for a Series

Un

Answer 3

Un = a + (n-1)d

a = first term
n = term number
d = difference

Question 4

Arithmetic Series

Answer 4

Sn = n/2 ( 2a + (n-1)d )
OR
Sn = n/2 ( a + L )

a = first term
d = difference
L = biggest term

Question 5

Differentiation

Answer 5

x^n -> nx^n-1

Multiply the power by the coefficient
Subtract 1 from the power

Question 6

Integration

Answer 6

x^n -> x^n+1 / n+1

Add 1 to the power
Divide by the new power

Question 7

Notation for Differentiation

Answer 7

dy/dx

f’(x)

Question 8

Graph Transformations

Answer 8

Outside affects y and inside affects x but backwards

Question 10

a f(x)

Answer 10

Stretch in the y direction of scale factor a

Multiply y coordinates by a

Question 11

f(x) + a

Answer 11

Shift in the y direction of a

Add a to the y coordinates

Question 12

f(ax)

Answer 12

Stretch in the x direction of scale factor 1/a

Multiply x coordinates by 1/a

Question 13

f(x +a)

Answer 13

A shift in the x direction of -a

Subtract a from the x coordinates