Pure Flashcards
What shape is graph us coefficient of x^2 is positive?
U shaped
What shape is graph us coefficient of x^2 is negative?
N shaped
How many roots if b^2-4ac>0?
2 real roots
How many roots if b^2-4ac=0?
1 real root
How many roots if b^2-4ac<0?
No real roots
Shape of graph y=kx^n is n is positive and even?
U shape if k positive
n shape if k is negative
Shape of graph y=kx^n is n is positive and odd?
Corner to corner shape. If k negative get a top left to bottom right shape
Shape of graph y=kx^n is n is negative and even?
Graph with 2 bits next to each other If k negative graph below x axis
Shape of graph y=kx^n is n is negative and odd?
Two bits opposite each other. If k negative it’s in bottom right and top left quadrants
Y=f(x+c)
Shifted c to left
Y=f(x-c)
Shifted c to right
Y=f(x)+c
Shifted c upwards
Y=f(x)-c
Shifted c downwards.
Y=af(x)
Stretch by scale factor a in x direction
Y=f(ax)
Stretch by scale factor of 1/a in y direction
Midpoint of AB
(Xa + Xb)/2 , (Ya + Yb)/2
Formula describing geometric progression
Un = ar^n-1
Convert radians to degrees
Divide by π, multiply by 180
Convert degrees to radians
Divide by 180, multiply by π
Length of arc equation
S= r θ
Area of sector equation
A= 1/2r^2 θ
What’s small angle approximation of sin θ
Sin θ~ θ
What’s the small angle approximation of tan θ
Tan θ~ θ
What’s the small angle approximation of cos θ
Cos θ~1-1/2 θ^2
Logab = c means
a^c = b
dy/dx of sin x
Cos x
day/dx of cos x
-sin x
dy/dx of tan x
Sec^2 x
d/dx of cosec(kx)
-kcosec(kx)cot(kx)
d/dx of sec(kx)
KSec(kx)tan(kx)
d/dx of cot(kx)
-kcosec^2(kx)
Cosec θ
1/sin θ
Sec θ
1/cos θ
Cot θ
1/tan θ
