Parent Trig Graphs
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Parent Trig Graphs with translations By: Jeffrey Bivin Lake Zurich High School [email protected] Last Updated: October 11, 2005
description
Parent Trig Graphs. with translations By: Jeffrey Bivin Lake Zurich High School [email protected]. Last Updated: October 11, 2005. sine and cosine. functions. Jeff Bivin -- LZHS. squeeze. squeeze. y = sin(2x). Jeff Bivin -- LZHS. y = sin(2x). Jeff Bivin -- LZHS. - PowerPoint PPT Presentation
Transcript of Parent Trig Graphs
Parent Trig Graphswith translations
By: Jeffrey Bivin
Lake Zurich High School
Last Updated: October 11, 2005
Jeff Bivin -- LZHS
y = sin(2x)
Jeff Bivin -- LZHS
y = sin(2x)
Jeff Bivin -- LZHS
y = sin(2x)Amplitude = 1
Period = π
Phase shift = 0
Jeff Bivin -- LZHS
y = 3sin(x)
Jeff Bivin -- LZHS
y = 3sin(x)Amplitude = 3
Period = 2π
Phase shift = 0
Jeff Bivin -- LZHS
y = -4sin(2x)
Jeff Bivin -- LZHS
y = -4sin(2x)
Jeff Bivin -- LZHS
y = -4sin(2x)
Amplitude = 4
Period = π
Phase shift = 0
Jeff Bivin -- LZHS
y = sin(x + π/2) x + π/2 = 0
x = -π/2
π/2
Jeff Bivin -- LZHS
y = sin(x + π/2) x + π/2 = 0
x = -π/2
π/2
Amplitude = 1
Period = 2π
Phase shift = -π/2
Jeff Bivin -- LZHS
xxf2
1cos)(
Jeff Bivin -- LZHS
xxf2
1cos)(
Amplitude = 1
Period = 4π
Phase shift = 0
Jeff Bivin -- LZHS
xxf 2cos)(
Jeff Bivin -- LZHS
xxf 2cos)(
Amplitude = 1
Period = π
Phase shift = 0
Jeff Bivin -- LZHS
xxf 2cos3)(
Jeff Bivin -- LZHS
Amplitude = 3
Period = π
Phase shift = 0
xxf 2cos3)(
Jeff Bivin -- LZHS
3cos2)(
xxf 0
3
x
3
x
π/3
Jeff Bivin -- LZHS
Amplitude = 2
Period = 2π
Phase shift = π/3
03
x
3
x
3cos2)(
xxf
π/3
Jeff Bivin -- LZHS
12cos3)( xxf 02 x
2
x
π/2
Jeff Bivin -- LZHS
12cos3)( xxf
UP1
UP1
Jeff Bivin -- LZHS
12cos3)( xxf
UP1
UP1
Amplitude = 3
Period = π
Phase shift = π/2
Jeff Bivin -- LZHS
Jeff Bivin -- LZHS
y = csc(x)
)sin(
1
xy
Jeff Bivin -- LZHS
y = csc(x)
Amplitude = 1
Period = 2π
Phase shift = 0
)sin(
1
xy
Jeff Bivin -- LZHS
y = sec(x)
)cos(
1
xy
Jeff Bivin -- LZHS
y = sec(x)
Amplitude = 1
Period = 2π
Phase shift = 0
)cos(
1
xy
Jeff Bivin -- LZHS
y = 3sec(x-π) 0 x
x
π
Jeff Bivin -- LZHS
y = 3sec(x-π) 0 x
x
π
Amplitude = 3
Period = 2π
Phase shift = π
Jeff Bivin -- LZHS
Jeff Bivin -- LZHS
y = tan(x)
)cos(
)sin(
x
xy
Jeff Bivin -- LZHS
y = tan(x)
Amplitude = 1
Period = π
Phase shift = 0
Jeff Bivin -- LZHS
y = cot(x)
)sin(
)cos(
x
xy
Jeff Bivin -- LZHS
y = cot(x)
Amplitude = 1
Period = π
Phase shift = 0
Jeff Bivin -- LZHS
y = tan(2x+π)
)2cos(
)2sin(
x
xy
02 x
2
x
π/2
Jeff Bivin -- LZHS
y = tan(2x+π) 02 x
2
x
π/2
Jeff Bivin -- LZHS
y = tan(2x+π) 02 x
2
x
π/2
Amplitude = 1
Period = π/2
Phase shift = - π/2
Jeff Bivin -- LZHS
Jeff Bivin -- LZHS
