1
Q
What is k for sine and cosine graphs
A
The amplitude
for sine and cosine graph, scale factor for tan graph
2
Q
What is the amplitude
A
The height from the centre of the periodic function to the maximum or minimum value
3
Q
What is a vertical dilatation of y=f(x)
A
y= k x f(x) with scale factor k
4
Q
If k>0…
A
graph is stretched vertically
5
Q
If 0
A
graph is compressed vertically
6
Q
If k = -1…
A
Function reflected in x-axis
7
Q
What is a horizontal dilation of y=f(x)
A
y=f(ax) with scale factor 1/a
8
Q
What is a period
A
the length of one cycle of periodic function on the x-axis
9
Q
Period of sin and cos
A
2pi/a
10
Q
Period of tan
A
pi/a
11
Q
If a>0
A
function is compressed horizontally
12
Q
If 0<a></a>
A
function is stretched horizontally
13
Q
If a = -1
A
reflected in y-axis
Maths HSC
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