Trigonometric Graphs/Curves: Values of “a”…”b”…”c”

e.g. 2 sin (3x – 90°) + 1

so 2 sin 3 (x – 30°) +1

amplitude = 2

number of complete cycles = 3

horizontal shift = 30° TO THE RIGHT ( x is what should make “x – 30°” equal 0!”)

horizontal “middle” line (line exactly between peak and trough) = y = 1

Translation and Vectors

What do the values in the brackets mean? (referring to translations)

Top number: horizontal movement…-ve number represents movement to the left…+ve to the right

Bottom number: vertical movement…-ve number represents movement downwards…+ve upwards