Question

Please help here: Trigo behaviors

Answer 1

I have to give an answer similar to this one:

Answer 2

I get the Idea, but I am just not sure how to describe it correctly

Answer 3

rewrite the equation

y = 2sin(3x + 90) - 3

the - 3 moves the centre of the curve to the line y = -3 (down 3)

the amplitude is 2 ( vertical height) or the range is -1 to -5

the period of the curve is 120 or the curve is repeated 3 times over the domain (0, 360)

+90 moves phase 90 to the left...

and over the domain of (0, 360) turns the curve into the curve y = 2cos(3x)

Answer 4

here is the graph.... the angle measurements are radians and not degrees

Answer 5

Omg, that answer is perfect and super clear!
Thank you so much Campbell:)

Answer 6

I would recommend that you download geogebra a free graphing package

Answer 7

Oh ook. I will thank you!

Answer 8

Geogebra:
http://www.geogebra.org/cms/en/download

Answer 9

For this question, is there a reflection in the x-axis?

Answer 10

reflection in the x-axis? reflection along the x-axis?

Answer 11

so like this?

We rewrite the equation to: y = 2sin(3x + 90) – 3.
Transformations:
• Vertical expansion by a factor of 2, horizontal compression by a factor of ½
• Reflection in the x-axis
• Horizontal phase shift 90 to the left, vertical translation 3 units down

Answer 12

horizontal compression by a factor of ½ <- not sure
Reflection in the x-axis <- should be no

Answer 13

if you graph both of these to compare, we can see that there is a horizontal commpression. wouldnt 1/2 be correct?

Answer 14

If my book is correct, then you're correct. So, you're right :)

Answer 15

Ok. so do you think my answer is complete?

Answer 16

In the second attachment way up this post, there is an example on how I should answer

Answer 17

Reflection in the x-axis <- really not sure...

Answer 18

Yeah, I mean if we take that part out

Answer 19

Then, it would be fine , I think

Answer 20

Awesome, thank you:)

Answer 21

welcome :)