Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Use the form acos(bx−c)+ d a cos (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of cos(π⋅x) cos (π ⋅ x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps...

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Free online graphing calculator - graph functions, conics, and inequalities interactively

Apr 12, 2024 · To graph the function, the sketch will take on the general shape of a cosine function, starting a cycle at \(x=0\) with quarter points at \(x=1.5\pi\), \(x=3\pi\), \(x=4.5\pi\), and \(x=6\pi\) to complete one cycle.

This trigonometric function grapher will help you find the graph and the specific characteristics (period, frequency, amplitude, phase shift and vertical shift) of more complex trigonometric functions, such as \(f(x) = 3\cos(\pi(x-2)+3)-\frac{\pi}{4}\)

Sep 2, 2016 · To construct a graph of function y = cos(πx), we have to start from y = cos(x) and "squeeze" is horizontally towards Y-axis by a factor π. That means, the shape is preserved, but the periodicity will be in π times smaller, that is 2π π = 2.

Jan 20, 2017 · To draw the graph of this function you kave to draw the graph of y = cosx. graph {cosx [-7, 7, -2, 2]} and translate it by a vector [π;0] (i.e. move the graph π units to the right) graph {cos (x-pi) [-7,7,-2,2]} See explanation.

Feb 20, 2016 · How to plot the graph of y = cos pi x ? The plot is as follows. graph {cos (pi*x) [-10, 10, -5, 5]} The period of cos kx is 2 π /k. So, the period of cos 2x is 2.The amplitude is 1. y repeats when x is increased or decreased by 2.

First, notice that we are talking about the basic cos graph and sine graph, this is sin(x) and cos(x). Then, the cos graph is obtained by simply shifting the sine graph to the left \(\pi/2\) units. So, the cos graph and sine graph are essentially the same, except for a translation.