Ive been having some trouble with the same types of questions over and over again. I cannot seem to get them right..
I have trouble finding the x-intercepts, after a series of transformations to the original graph.
Here is an example:
y = 2-3cos 2(θ - π/2)
I know that:
- amplitude: 3
- reflection about the x-axis
- translation of π/2 units in the positive direction of the x-axis
- dilation of factor 1/2 from the y-axis
- translation of 2 units in the positive direction of the y-axis
I understand how it has been transformed from the original cos graph, but i can't get the x-intercepts after all the transformations. How do i start it? Can anyone give me a good method??
Anyones help would be greatly appreciated.