Was ist die Amplitude und Periode von y = -4cos2x?

Was ist die Amplitude und Periode von y = -4cos2x?
Anonim

Antworten:

# 4, pi #

Erläuterung:

# "die Standardform des Cosinus ist" #

#color (rot) (Balken (ul (| color (white) (2/2) color (schwarz) (y = acos (bx + c) + d) color (white) (2/2) |)))

# "amplitude" = | a |, "period" = (2pi) / b #

# "Phasenverschiebung" = -c / b, "vertikale Verschiebung" = d #

# "hier" a = -4, b = 2, c = d = 0 #

#rArr "amplitude" = | -4 | = 4, "period" = (2pi) / 2 = pi #