⎜ ⎟ ⎜ 4 2 ⎟ ⎜ 4 ⎟ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ = −4 by and then adding 2 units. Thus, the A ) We plot these five points and fill in the graph of + 2 will lie between −2 the curve. We then extend the graph in either = −4 y (3x graph of cos direction to obtain the graph shown below. and 6 on the The five key points are y-axis. ⎞ ⎛ π ⎞ ⎛ π 2π ⎞ ⎛ ⎞ (0, π −2) , ⎛ ⎜ ⎟ y ,2 , ,2 , , ⎜ ,6 ⎟ ⎜ , −2 ⎟ 10 ⎛ ⎞ 3π ⎠ ⎝ 2 ⎠ ⎝ 3 ⎠ ⎝ 6 ⎠ ⎝ 3 plot these five points and fill in the graph of ⎜ ,8 ⎟ the curve. We then extend the graph in either ⎝ ⎠ 4 ⎛ =π ⎞ direction to obtain the graph shown below. ,5 We ⎜ ⎟ ⎝ ⎠ (π (0, ,5) 5) ⎛ π ⎞ ⎜ ⎟ ,2 ⎝ 4 ⎠ −π π 3 3
⎜ 4 ⎟ ⎜ 2 ⎟ ⎜ 4 ⎟ ⎝ ⎠ ⎝ ⎠ ⎝ ⎠ by A = −4 and then adding 2 units. Thus, the We plot these five points and fill in the graph of the curve. We then extend the graph in either graph of y = −4 cos (3x ) + 2 will lie between −2 direction to obtain the graph shown below. and 6 on the y-axis. The five key points are ⎞ ⎛ π ⎞ ⎛ π ⎞ ⎛ 2π ⎞ y (0, −2) , ⎛ π ,2 , ⎜ ,6 ⎟ , ⎜ ,2 ⎟ , ⎜ , −2 ⎟ 10 ⎛ 3π ⎞ ⎝ 6 ⎠ ⎝ 3 ⎠ ⎝ 2 ⎠ ⎝ 3 ⎠ ⎛ =π ⎞ ,5 ⎜ ,8 ⎟ ⎝ 4 ⎠ We plot these five points and fill in the graph of the curve. We then extend the graph in either direction to obtain the graph shown below. ⎜ ⎟ ⎝ ⎠ (0, 5) (π ,5) ⎛ π ⎞ ⎜ ,2 ⎟ ⎝ 4 ⎠ −π π 3 3
62514-0132318806_ISM_02-1.docx