PURE Flashcards

1
Q

How do you find the number of real roots?

A

Use the discriminant

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
1
Q

What is the turning point for equations a(x+p)+Q

A

(-p,q)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What is the translation y=f(x)+c

A

c units up

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is the translation y=f(x+d)

A

d units to the left

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is the translation y=pf(x)

A

vertical stretch sfp in the xaxis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is the translation y=f(qx)

A

horizontal stretch sf1/q in the yaxix

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What do the gradients of two perpendicular lines multiply to give

A

-1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What may you need to do to find the equation of a circle?

A

Complete the square

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

log(xy)=

A

log(x) + log(y)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

log(x/y)

A

log(x) - log(y)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

log(1/x)

A

-logx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

if y=Ae^kt then what does A=?

A

The initial value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

if y=Kb^x they how can this be written using log form?

A

log(y)=log(k)+(x)log(b)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

nCr factorial formula?

A

n!/r!(n-r)!

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

what does tan=?

A

sin/cos

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

what does sin^2x=

A

1-cos^x

15
Q

How do you find the magnitude of vector a?

A

You use the modulus of a

16
Q

if vectors are parallel what will they have in common?

A

A common multiple

17
Q

How do you find the distance of vector AB?

A

It is the modulus of b-a

18
Q

How do you know if a function is increasing or decreasing?

A

If it is increasing then the differential will be >0, if it is decreasing then it will be <0

19
Q

How do you find the rate of change?

A

You use the second differential

20
Q

What are the steps for finding the binomial distribution?

A

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.

21
Q

What kind of functions have inverse functions?

A

one-one

22
Q
A