Maths formulas Flashcards
(23 cards)
Equation of a circle
r²=x²+y²
=(x-a)²+)y-b)²
x²+y²+2gx+2fy+c=0
Distance formula
√((y1+y2)²+(x1+x2)²)
What is the centre if I use eq3 for the circle
(-g,-f)
How to calculate radius with eq3
r=√((g²)+(f²)-c
What does the 2 do in sin(2x)
The frequency is doubled
Lines are parallel when
The gradient is the same
sine graph starts from where
0
What does the 2 do in 2sin x
The amplitude goes up to two
Gradient of a line formula
Rise÷run
cos graphs start from where
1
Gradient formula with coordinates
(y2-y1)÷(x2-x1)
What does the 2 do in sin(x)+2
The graph is moved vertically up by 2
How to find the vertex of a parabola
(h,k)
The formula for cubic graphs
y=(x-a)(x-b)(x-c)
How to tell two lines are perpendicular
m1×m2=-1 M= gradient
What does the 2 do in sin(x+2)
The graph is shifted horizontally backwards by two
What is the centre if I use eq1 for the circle
(0,0)
What is the centre if I use eq2 for the circle
(a,b)
Midpoint of a line formula
((x1+x2)÷2,(y1+y2)÷2)
What does “a” stand for in the y=a(x-h)²+k formula
A stands for the gradient of the graph
Parabola formula
y=a(x-h)²+k
The formula of a line
Y=mx+c
