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Graph the function. (A graphing calculator is recommended:) sin 3x f(x) Xv 16...

Question

Graph the function. (A graphing calculator is recommended:) sin 3x f(x) Xv 16

Graph the function. (A graphing calculator is recommended:) sin 3x f(x) Xv 16



Answers

Display the graphs of the given functions on a calculator. $$y=\sin x-1.5 \sin 2 x$$

In this question were being asked to graph the function negative sign of acts, which means it's going to be a reflection over the X access knows my amplitude is still going to be one my period, because my frequency is when my period will remain to pie and there's no vertical shift either. So drawing my access. Here's my ex access. Here's my Y Access 123 or my standard period is still two pi, So I have pi over two pi three pi over to two pi. Since there's no vertical shift, my midline remains right on the X axis. Since the amplitude is one, it's still gonna go one unit above in one unit below the midline signed starts on the midline and ends on the midline. But since this is going to be a reflection, instead of starting up going up to the top middle down middle, I'm going to start on the midline go down, middle up middle and this graphic continue in both directions. So the opposite of the sign of X would look like this crap

This problem. I'm looking to graph three plus the sign of X. This is saying I'm gonna take the original sign curve and shift it up three units so going to start by making my graph. Here's my X axis. Here's my Y axis. My new midline is now three units 123 units above the X axis. When a draw new midline three units above the X axis noticed that the number in front of the sign what sign is being multiplied by is still one telling me that my amplitude is still one unit above and one unit below that midline Notice that there's nothing inside of the function telling me that my period will still remain to pie. Hi, three pi over to you Hi Over to graphing This sign starts on on the midline and ends on the midline because a positive sign curve it's gonna go up middle, down, middle. And here's a sketch. It will continue going in both directions

In this problem, we're being asked. A graph F of X is equal to negative two plus the sign of X negative two is being added to the sign of X or subtracting two from the sign of acts which tells you you're vertical shift is going to be down to units. So what that means is, if I have my original graph here, here's my axe access. Here's my Y axis. It means that I'm going to shift my ex access down to units. So my midline will now be that why equals negative too. Since my coefficient is a positive one, That means I'm going to start on the midline Go up middle down middle Typical sign curve, right. Your basic science, her looks like that. So it's going to remain that shape. There's no frequency change. So my period 1234 My big steps here will still be pi over two pi three pi over two into pi. In this case, I'm going to start in the middle. I'm going again. My amplitude is once I'm gonna go up one unit and down one unit from my midline. So start in the middle up one unit down one unit down to the bottom. Back to the middle. Notice I get my traditional sign curve but shifted down to units.

In this question and what you use on a graphing calculator and it's calling this mosque and down the fashion were given as the side. Thanks. Power three. And hey, we're seeing that after a certain period, graft will be riveted. So when we started from zero and then after the Dubai graphically riveted here, so we can So you get some standing room zero And this when you've been a temporal, the craft will be repeated and here will be four by. So that period on the graft will be riveted. Give me that you buy.


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