# Thread: Help Sketching a function

1. ## Help Sketching a function

y=2sin(1/2x+45)+1
How could that be translated into a table of values?

___X__|___Y__ ------------>
0 | 0
90 | 1
180 | 0
etc
hopefully this makes sense.

2. ## Re: Help Sketching a function

Originally Posted by Braedong
y=2sin(1/2x+45)+1
How could that be translated into a table of values?

___X__|___Y__ ------------>
0 | 0
90 | 1
180 | 0
etc
hopefully this makes sense.
I don't use a table of values when sketching trigonometric functions. I make sure to have a few different colours handy (like a 4 pen) and I sketch the "standard" sine graph.

Then I'd use a different colour to show the vertical dilation.

Then I'd use a different colour to show the horizontal dilation.

Then I'd use a different colour again to show the horizontal translation.

And finally I'd use a different colour again to show the vertical translation.

Takes a while but you get a better understanding of the functions.

3. ## Re: Help Sketching a function

Originally Posted by Prove It
I don't use a table of values when sketching trigonometric functions. I make sure to have a few different colours handy (like a 4 pen) and I sketch the "standard" sine graph. (blue)

Then I'd use a different colour to show the vertical dilation. (green)

Then I'd use a different colour to show the horizontal dilation. (orange)

Then I'd use a different colour again to show the horizontal translation. (pink)

And finally I'd use a different colour again to show the vertical translation. (purple)

Takes a while but you get a better understanding of the functions.
In case a picture helps (the purple graph is your final graph):