1.02 - Algebra and Functions Flashcards

1
Q

What does a^m * a^n equal?

A

a^(m+n)

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

What does a^m / a^n equal?

A

a^(m-n)

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

What does (a^m)^n equal?

A

a^(mn)

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

What does a^0 equal?

A

1

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

What does a^-n equal?

A

1 / a^n

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

What does a ^(m/n) equal?

A

root n (a^m)

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

How do you rationalise the denominator?

A

Multiply top and bottom by the appropriate expression to create a difference of two squares

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

What is the quadratic formula?

A

(-b +- root(b^2 - 4ac)) / 2a

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

What does the x part represent in a quadratic graph?

A

It represents whether the graph moves left or right.

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

What is the turning point of the quadratic y = (x+p)^2 + q?

A

(-p, q)

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

What is a polynomial?

A

A function made up of a sum of terms containing non-negative integer powers of an unknown.

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

How can you show a line is a tangent to a curve?

A

Substitute into the equation and work out the discriminant

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

What is a transformation of f(x) + c ?

A

Translation c units up

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

What is a transformation of f(x+d) ?

A

Translation d units to the left

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is a transformation of pf(x) ?

A

Vertical stretch, scale factor p

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is a transformation of f(qx) ?

A

Horizontal stretch, scale factor 1/q

17
Q

What is a transformation of y = -f(x) ?

A

Reflection in the x-axis

18
Q

What is a transformation of y = f(-x) ?

A

Reflection in the y-axis