Translating Sine and Cosine Functions - Trigonometry - Socratic
#y=sinx# graph{y=sinx [-5.578, 5.52, -1.46, 4.09]} #y=sinx+2 = 2+sinx# graph{y=sinx+2 [-5.578, 5.52, -1.46, 4.09]} #y=sinx-4=-4+sinx# graph{y=sinx-4 [-5.58, 5.52, -5.17, 0.38]} The reasoning is the same for #y=cosx+k=k+cosx#, but the starting graph looks different, so the final graph is also different: #y=cosx# graph{y=cosx [-5.578, 5.52, -1.46 ...
How do you graph y=(sinx)/x? - Socratic
Apr 19, 2015 · We know that the limit in 0 is 1 (it's one of the notables limits: in a neighbourhood of 0 sin(x)=x+o(x^2) => sin(x)/x = 1+o(x) -> 1 if x->0 ) We know it is an even function (quotient of two odd functions), so the graph must be symmetric. We concentrate on x>0, and then extend by symmetry We know it has zeros where sin(x) has zeros (except for x=0) so it has zeros in …
How do you graph y=sin2x? - Socratic
Aug 9, 2018 · Therefore, #y=sin2x# is basically the #y=sinx# graph but instead of having a period of #2pi#, it has a period of #pi#. So what that means is that in #y=sin2x# , you will see two #sinx# graphs occurring.
How do you graph y = 1 - sinx? - Socratic
Jul 25, 2018 · Below y=1-sinx is your y=sinx graph flipped on its x-axis (referring to the negative in front of sinx) and shifted up by 1 unit (referring to the 1 in front of -sinx Below is your y=sinx graph{sinx [-10, 10, -5, 5]} Below is your y=-sinx. Notice that it is flipped on its x-axis. Another way you can know that it has flipped on its x-axis is by subbing any value into y=sinx and y=-sinx …
How do you graph y=-sinx? - Socratic
Mar 28, 2017 · graph{y=-sinx [-10, 10, -5, 5]} Explanation: Take your points from a sine graph and add a negative in front of the y co-ordinates, since the negative in the equation affects only the y co-ordinates.
How do you translate the graph of #y=sin(x-pi/3) - Socratic
Jul 25, 2018 · Below y=sin(x-pi/3) is your y=sinx graph but shifted to the right by pi/3 units y=asin(nx+b) is the general form a is the amplitude n is used to find the period of the function b is the shift to left or right Therefore, wtih reference to the general form, y=sin(x-pi/3 has an amplitude of 1, a shift to the right by pi/3 units. The period is found using this equation T=(2pi)/n T=(2pi)/1 …
How do you graph y=-sinx+1? - Socratic
Dec 7, 2017 · Graph as shown below: To sketch this curve we must understand what transformations should be done to sinx The first thing to consider is -sinx this is just simply reflecting sinx in the x axis, hence we yield; graph{-sinx [-5, 5, -2.605, 2.605]} Now we know -sinx +1 is just -sinx shited upward by 1 unit Hence we yield; graph{1-sinx [-4.333, 5.667, -1.5, 3.71]}
How do you graph y= 2 + sinx? | Socratic
Mar 31, 2018 · It is the same as the graph of y=sinx translated 2 units up. Consider the graph y=sinx graph{sinx [-10, 10, -2, 5]} And the translated graph 2 unit up along Oy of y=2+sinx graph{2+sinx [-10, 10, -2, 5]} Both graphs are using the same scale
The graph of y=sinx is the same as the graph of | Chegg.com
The graph of y=sinx is the same as the graph of y=cosx shifted to the right pi/2 units. So the sine curve y=sinx is also at the same time a cosine curve: pi/2).In fact, any sine curve is also a cosine curve with a different phase shift, and any cosine curve is also a sine curve.
Solved over the intervals taken between 0 and 2pi, the graph
Express the numbers as simplified fractions if necessary.y=sinx is increasing on the intervals over the intervals taken between 0 and 2pi, the graph of y= sinx increasing is noninclusive. There’s just one step to solve this.