6.5 Trigonometric Graphs

TRIGONOMETRIC GRAPHS

Graphing      :

Graphing      :

Graphing      :

• 'a' leads to vertical stretching. Vertical stretching will cause a change in amplitude.
• 'b' leads to horizontal compressing. Horizontal compressing will change the period.
• 'c' leads to shifting left or right. This left or right shifting is called a phase shift.
• 'd' leads to shifting up or down. This up or down shift is called a midline shift because it will affect the midline.

VERTICAL STRETCHING

 compared to 

AMPLITUDE/PERIOD

HORIZONTAL COMPRESSING

 compared to

L/R SHIFT (PHASE SHIFT)

 compared to              compared to 

The graph on the left is showing a left phase shift. The graph on the right shows a right phase shift.

U/D SHIFT (MIDLINE SHIFT)

This graph shows an upward midline shift.

This graph shows a downward midline shift.

MIDLINE

This graph shows 

 & in the thinner and wavy lining and their midline's in a thick line through the middle of each.

And that's about it, other than The Nonagon Song, of course.

Alex Hackert