PURE Flashcards
How do you find the number of real roots?
Use the discriminant
What is the turning point for equations a(x+p)+Q
(-p,q)
What is the translation y=f(x)+c
c units up
What is the translation y=f(x+d)
d units to the left
What is the translation y=pf(x)
vertical stretch sfp in the xaxis
What is the translation y=f(qx)
horizontal stretch sf1/q in the yaxix
What do the gradients of two perpendicular lines multiply to give
-1
What may you need to do to find the equation of a circle?
Complete the square
log(xy)=
log(x) + log(y)
log(x/y)
log(x) - log(y)
log(1/x)
-logx
if y=Ae^kt then what does A=?
The initial value
if y=Kb^x they how can this be written using log form?
log(y)=log(k)+(x)log(b)
nCr factorial formula?
n!/r!(n-r)!
what does tan=?
sin/cos
what does sin^2x=
1-cos^x
How do you find the magnitude of vector a?
You use the modulus of a
if vectors are parallel what will they have in common?
A common multiple
How do you find the distance of vector AB?
It is the modulus of b-a
How do you know if a function is increasing or decreasing?
If it is increasing then the differential will be >0, if it is decreasing then it will be <0
How do you find the rate of change?
You use the second differential
What are the steps for finding the binomial distribution?
You state the null and alternative hypothesises, you state the binomial distribution, you calculate the probability, compare to the significance level and then reject or accept.
What kind of functions have inverse functions?
one-one
