PHASE SHIFTS AND VERTICAL SHIFTS 3 3

5.3 I can identify the transformations made to the Sine and Cosine graph. 5.4 I can construct the Sine and Cosine graph using transformations.

HORIZONTAL SHIFT OR PHASE SHIFT State the phase shift and graph f(θ) = sin(θ - π/2) Inside the function Phase shift: moves to the right π/2 units

HORIZONTAL SHIFT OR PHASE SHIFT State the phase shift and graph f(θ) = cos(θ + π/4) Inside the function Phase shift: moves to the left π/4 units

HORIZONTAL SHIFT OR PHASE SHIFT State the phase shift and graph f(θ) = cos(θ – π) Inside the function Phase shift: moves to the right π units

VERTICAL SHIFT State the vertical shift and graph f(θ) = sin(θ) -2 Outside the function Vertical shift: moves down 2 units

VERTICAL SHIFT State the vertical shift and graph f(θ) = cos(θ) + 3 Outside the function Vertical Shift: Moves up 3 units

PHASE SHIFT AND VERTICAL SHIFTS State the transformations and graph f(θ) = cos(θ – π/4) – 1 Inside the function: Phase shift: π/4 units right Outside the function: Vertical shift: Moves down 1 unit

PHASE SHIFT AND VERTICAL SHIFTS State the transformations and graph f(θ) = sin(θ + π) + 2 Inside the function: Phase shift: π units left Outside the function: Vertical shift: Moves up 2 unit