How do you graph $5 + 8 cos 2 x$ $5+8cos2x$ ?

Question

How do you graph $5 + 8 cos 2 x$ $5+8cos2x$ ?

1 Answer

Impact of this question

2626 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-02T02:57:18

We have $f (x) = 5 + 8 cos 2 x$ $f(x) = 5 + 8cos2x$

Let's first breakdown the above equation.
$cos x$ $cosx$ is pretty simple to plot as a function of x (just a sinusoidal wave). Now, $cos 2 x$ $cos2x$ plot looks exactly same as $cos x$ $cosx$ but it varies two times faster than $cos x$ $cosx$ (see the plots below).

$cos x$ $cosx$

graph{cos(x) [-10, 10, -2, 2]}

$cos 2 x$ $cos2x$

graph{cos(2*x) [-10, 10, -2, 2]}

Multiplying $cos 2 x$ $cos2x$ by $8$ $8$ gives you the following plot
(changes the amplitude of the curve)
$8 cos 2 x$ $8cos2x$

graph{8cos(2x) [-10, 10, -10, 10]}

Finally, adding $5$ $5$ to $8 cos 2 x$ $8cos2x$ shifts the plot by 5 on the y-axis
$5 + 8 cos 2 x$ $5+8cos2x$

graph{5+8cos(2x) [-10, 10, -6, 14]}

Science

Math

Humanities

... and beyond

How do you graph $5 + 8 cos 2 x$ $5+8cos2x$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you graph 5+8cos2x5+8cos2x?

1 Answer

Related questions

Impact of this question

How do you graph $5 + 8 cos 2 x$ $5+8cos2x$ ?