Graphs of Sine and Cosine
Changing the Sine Graph
y=AsinB(x-C)+D
Changing the A value directly results in an increase or decrease in amplitude. Ex. 2sinx will have a graph with an amplitude of 2 instead of 1. If the A value is negative, then the graph has a reflection over the x-axis.
Changing the B value inversely results in an increase or decrease in the period of the graph. Ex. sin2x will have a graph with a period of 2π/2 which is just π. Ex. sin1/2x will have a graph with a period of 2π x 2/1, or 4π
Changing the C value will cause a horizontal shift of the graph. If C is positive then the graph moves left. If C is negative then the graph moves right.
Changing the D value will cause a horizontal shift of the graph. If D is positive then the graph moves up. If D is negative then the graph moves down.
Changing the A value directly results in an increase or decrease in amplitude. Ex. 2sinx will have a graph with an amplitude of 2 instead of 1. If the A value is negative, then the graph has a reflection over the x-axis.
Changing the B value inversely results in an increase or decrease in the period of the graph. Ex. sin2x will have a graph with a period of 2π/2 which is just π. Ex. sin1/2x will have a graph with a period of 2π x 2/1, or 4π
Changing the C value will cause a horizontal shift of the graph. If C is positive then the graph moves left. If C is negative then the graph moves right.
Changing the D value will cause a horizontal shift of the graph. If D is positive then the graph moves up. If D is negative then the graph moves down.
