Set 1 (base) Flashcards
1
Q
State the Quadratic formula
A
2
Q
State the distance formula
A
d=
3
Q
A
4
Q
show f(x) when translated h units in the positive direction of the horizontal axis.
A
f(x-h)
5
Q
State the rule for the function
A
6
Q
A
7
Q
log(a)+log(b)
A
log(ab)
8
Q
A
9
Q
A
10
Q
quick sketch
A
11
Q
value of discriminant when 2 solutions
A
> 0
greater than 0
12
Q
A
13
Q
A
14
Q
If the gradient of 2 equations is the same and the y-int is the same how many solutions do they have?
A
infinite
15
Q
State the rule for the function
A
16
Q
state the discriminant
A
17
Q
A
18
Q
value of discriminant when 1 solution
A
= 0
19
Q
A
20
Q
state the expression for the axis of symmetry
A
21
Q
State the rule for the function
A
22
Q
A
23
Q
value of discriminant when no solution
A
< 0
less than 0
24
Q
A
25
26
27
show f(x) when reflected in the vertical axis
f(-x)
28
State the rule for the function
29
show f(x) when dilated by a factor of a from the horizontal axis
af(x)
30
If the gradient of 2 equations is different, how many solutions do they have?
1
31
32
33
34
State the rule for the function
35
36
log(a^b)
blog(a)
37
log(1)
0
38
How does the domain of the inverse relate to the original function?
It is equivalent to the range.
39
40
show f(x) when dilated by a factor of a from the vertical axis
f(x/a)
41
42
show f(x) when translated k units in the positive direction of the vertical axis.
f(x)+k
43
44
45
State the equation of a linear line.
46
quick sketch
47
log(a)-log(b)
48
If the gradient of 2 equations is the same but different y-int how many solutions do they have?
0
49
show f(x) when reflected in the horizontal axis
-f(x)
50
51
52
53
State the rule for the function
54
state the midpoint coordinate rule
55
State the rule for the function
56
57
Quick sketch of base graph for y=e^x
## Footnote
(this is the same as for any exponential graph in the form y=a^x, where a>1)
58
Quick sketch of base graph for y=ln(x)
## Footnote
Note: this is the same as for any graph of y=log(x) for ANY base (eg, log2(x))
59
Quick sketch of y=x^3
## Footnote
Note, same rough shape for the graph of any function y=x^(positive odd integer >1)
eg: x^5, x^7, x^9...
60
Quick sketch of y=x^4
## Footnote
Note, same rough shape for the graph of any function y=x^(positive even integer >1)
eg: x^2, x^4, x^6...
61
## Footnote
Note, same rough shape for the graph of any function y=x^(1/even positive integer)
eg: x^1/2, x^1/4, x^1/6...
62
## Footnote
Note, same rough shape for the graph of any function y=x^(1/even odd integer >1)
eg: x^(1/3), x^(1/5), x^(1/7)...
63
## Footnote
Note, same ROUGH shape for the graph of any function y=1/x^(odd integer >1)
eg: 1/x^(3), 1/x^(5), 1/x^(7)...
64
## Footnote
Note, same ROUGH shape for the graph of any function y=1/x^(even integer >1)
eg: 1/x^2, 1/x^4, 1/x^6...
65
Formula for completing the square
