Trigonometry graphs
max − 𝑚𝑖𝑛
Amplitude: 2
Period: amount of ° the graph takes to complete itself
Sin graphs
y = a sin k(x + p) + q
a: (vertical stretch = changes amplitude)
a > 0 positive reflection
a < 0 negative reflection
The bigger the a value, the more steep the curve (the higher the amplitude)
The smaller the a value, the more gradual the curve (the lower amplitude)
q: (vertical shift)
+ q The graph shifts upwards
– q The graph shifts downwards
Amplitude (if a = 1) = 1
Period (if no k value) = 360°
k: (k>0) Horizontal stretch
Influences the period.
360°
Period = 𝑘
p: Horizontal shift
+ p Shift p° to the left
- p Shift p° to the right
max − 𝑚𝑖𝑛
Amplitude: 2
Period: amount of ° the graph takes to complete itself
Sin graphs
y = a sin k(x + p) + q
a: (vertical stretch = changes amplitude)
a > 0 positive reflection
a < 0 negative reflection
The bigger the a value, the more steep the curve (the higher the amplitude)
The smaller the a value, the more gradual the curve (the lower amplitude)
q: (vertical shift)
+ q The graph shifts upwards
– q The graph shifts downwards
Amplitude (if a = 1) = 1
Period (if no k value) = 360°
k: (k>0) Horizontal stretch
Influences the period.
360°
Period = 𝑘
p: Horizontal shift
+ p Shift p° to the left
- p Shift p° to the right
