Trigonometry: Introduction to Graphing by: javier

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Trigonometry: Introduction to Graphing 1

y

0.5 x − 5π 4

−π

− 3π 4

−π 2

−π 4

π 4

π 2

3π 4

−0.5

by: javier

π

5π 4

3π 2

7π 4



graphing basics

graphing basics small tweaks

graphing basics small tweaks graph y = (2x)2

Example: graph y = x y

y

x

x

graphing basics small tweaks graph 2y = (x)2

Example: graph y = x y

y

x

x

graphing basics small tweaks graph y − 1 = (x − 3)2

Example: graph y = x y

y

x

x

graphing basics small tweaks Example: graph y = x

graph

y

x

1 2

(y + 1) = (x − 3)2 y

x

graphing basics small tweaks graph (y − 2)2 + (x + 3)2 = 4

Example: graph y2 + x2 = 4 y

y

x

x

graphing basics small tweaks

(

graph y = sin x −

Example: graph y = sin(x) y

y

x

π 2

)

x

graphing basics small tweaks

(

graph y − 2 = sin x −

Example: graph y = sin(x) y

y

x

π 2

)

x

graphing basics small tweaks

(

graph y − 2 = cos x +

Example: graph y = cos(x) y

y

x

3π 2

)

x

graphing basics small tweaks graph −2(y − 1) = sin (x + π)

Example: graph y = sin(x) y

y

x

x

graphing basics small tweaks Example: graph y = cos(x)

graph

y

x

1 3 (y

)] [ ( + 2) = cos −2 x + π2 y

x