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.