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From: Albert on 1 Apr 2010 02:51
I am being asked to sketch y = 3cos[2(x + pi / 2)] - 1. I started with
y = cos(x) in pencil, then rubbed out 1 and -1 for 3 and -3, rubbed
out pi / 2 and 3pi / 2 for pi / 4 and 3pi / 4, then moved the y-axis
pi / 2 units to the right and changed pi / 4 and 3pi / 4 to -pi / 4
and pi / 4. I have the the translation of one unit in the negative
direction of the y-axis to cover, and I plan to rub out the current x-
axis and draw a new x-axis one unit higher. Can I figure out the x-
intercepts without solving a trigonometric equation?
From: José Carlos Santos on 1 Apr 2010 04:00
On 01-04-2010 7:51, Albert wrote:

> I am being asked to sketch y = 3cos[2(x + pi / 2)] - 1. I started with
> y = cos(x) in pencil, then rubbed out 1 and -1 for 3 and -3, rubbed
> out pi / 2 and 3pi / 2 for pi / 4 and 3pi / 4, then moved the y-axis
> pi / 2 units to the right and changed pi / 4 and 3pi / 4 to -pi / 4
> and pi / 4. I have the the translation of one unit in the negative
> direction of the y-axis to cover, and I plan to rub out the current x-
> axis and draw a new x-axis one unit higher. Can I figure out the x-
> intercepts without solving a trigonometric equation?

No.

Best regards,

Jose Carlos Santos
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