Cosine transformation hw

[coooool222]

Graph each function over a two period interval

y = 2cos(x+pi)

this is my work is it right?

 

[Harry_the_cat]

Wow! That is so hard to read!! Please redraw it and position it correctly if you want us to respond.

 

[coooool222]

ok the key points are (-pi/2) (-pi/2,0), (0,-2) (pi/2,0) (pi,2) (3pi/2,0) (2pi, 0) (5pi/2,0) (5pi,0)

 

[Steven G]

ok the key points are (-pi/2) (-pi/2,0), (0,-2) (pi/2,0) (pi,2) (3pi/2,0) (2pi, 0) (5pi/2,0) (5pi,0)

(-pi/2) is not a point.

 

[Dr.Peterson]

Graph each function over a two period interval

y = 2cos(x+pi)

this is my work is it right?

The period is correct, and the key points are nominally correct, but the y-axis is not drawn uniformly. The distances from the axis to +2 and to -2 should be the same, so that the axis would be the midline of the graph.

One way to check is to observe a few points on your graph, such as (-pi, 2) and (0, -2), and verify that they satisfy the equation.