# Thread: angry with trig graphing :(

1. ## angry with trig graphing :(

ok i need a lot of help with trig graphing. lets say that we have an equation like: y = sin1/3(x-pi/4)-2... when ur graphing this equation, how do u no what the increments of the x-axis are going to be on the graph??? yes i do no the basics of the x-axis of sinx like pi/2, pi, 3pi/2, and 2pi... but when the equation gets transformed like the one in my example, how do u figure out what your x-axis is going to be??? obviously pi/2, pi, 3pi/2, and 2pi will be to simple to use when graphing this equation... help please

2. Originally Posted by hungzai
ok i need a lot of help with trig graphing. lets say that we have an equation like: y = sin1/3(x-pi/4)-2... when ur graphing this equation, how do u no what the increments of the x-axis are going to be on the graph??? yes i do no the basics of the x-axis of sinx like pi/2, pi, 3pi/2, and 2pi... but when the equation gets transformed like the one in my example, how do u figure out what your x-axis is going to be??? obviously pi/2, pi, 3pi/2, and 2pi will be to simple to use when graphing this equation... help please
You have $\displaystyle \sin \left(\frac{1}{3} \left( x - \frac{\pi}{4} \right) \right) - 2$.

So the basic sine graph has been dilated horizontally by a factor of 3 and then shifted to the right by pi/4 units and then shifted down by 2 units.