How do you graph $y=1/2cospix$ ?

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Answer 1 · 2017-06-06T12:29:59

Graph $cos(x)$ , then increase frequency and halve the amplitude.

Start with the graph of $y=cos(x)$ . The primary points required to adequately draw the graph are

$f(x)=cos(x)$

$cos(-(3pi)/2)=0 => (-(3pi)/2,0)$

$cos(-pi)=-1 => (-pi,-1)$

$cos(-(pi)/2)=0 => (-(pi)/2,0)$

$cos(0)=1 => (0,1)$

$cos((pi)/2)=0 => ((pi)/2,0)$

$cos(pi)=-1 => (pi,-1)$

$cos((3pi)/2)=0 => ((3pi)/2,0)$

These give the basic graph of $y=cos(x)$

graph{cos(x)[-5,5,-1.2,1.2]}

Next, the frequency will increase by $pi$ , or a factor of just barely over three.

graph{cos(pi*x)[-5,5,-1.2,1.2]}

Finally, cut the amplitude of the function in half.

graph{1/2 cos(pi*x)[-5,5,-1.2,1.2]}

How do you graph y=1/2cospixy=1/2cospix?