Maths Pure Flashcards
1
Q
y=f(x)+c
A
If c is positive, the graph is translated upwards
2
Q
y=f(x+c)
A
If c is positive it moves left
3
Q
Remainder f(x) when divided by (x-a)
A
f(a)
4
Q
Sine rule
A
a/SinA = b/SinB
5
Q
Cosine rule
A
a² = b² + c² -2bcCosA
6
Q
ln(eˣ)
A
x
7
Q
circle equation
A
(x-a)² + (y-b)² = r²
8
Q
f’(x) graph
A
graph of dy/dx (like the gradient)
9
Q
af(x)
A
VERTICAL a is greater than 1 = stretch; if less than 0, flip
10
Q
f(ax)
A
HORIZONTAL a is greater than 1 = squash; if less than 0, flip
11
Q
discriminant
A
b²-4ac
12
Q
b²-4ac is positive
A
2 roots
13
Q
b²-4ac is 0
A
1 root
14
Q
b²-4ac is negative
A
0 roots
15
Q
eˡᵒᵍˣ
A
x
16
Q
dy/dx eˣ
A
eˣ
17
Q
log(a)b = c
A
aᶜ = b
18
Q
curved SA cylinder formula
A
2(pi)rh
19
Q
volume sphere formula
A
(4/3)(pi)r³
20
Q
sinx/cosx
A
tanx
21
Q
sin²x + cos²x =
A
1
22
Q
logaᵇ
A
b x loga
23
Q
Area of triangle
A
A = (1/2)abSinC
24
Q
log(a)(xy)
A
log(a)x + log(a)y
25
Q
log(a)(x/y)
A
log(a)x - log(a)y
