determine the amplitude and period of the function. graph the function. y = - 8 cos 1/2x the amplitude is 8…

determine the amplitude and period of the function. graph the function. y = - 8 cos 1/2x the amplitude is 8. (simplify your answer.) the period is 4π. (type an exact answer using π as needed. use integers or fractions for any numbers in the expression.) use the graphing tool to graph the function. click to enlarge graph (for any answer boxes shown with the grapher, type an exact answer. type the word pi to insert the symbol π as needed.)

determine the amplitude and period of the function. graph the function. y = - 8 cos 1/2x the amplitude is 8. (simplify your answer.) the period is 4π. (type an exact answer using π as needed. use integers or fractions for any numbers in the expression.) use the graphing tool to graph the function. click to enlarge graph (for any answer boxes shown with the grapher, type an exact answer. type the word pi to insert the symbol π as needed.)

Answer

Explanation:

Step1: Recall amplitude formula

For $y = A\cos(Bx)$, amplitude is $|A|$. Given $y=-8\cos(\frac{1}{2}x)$, $A = - 8$, so amplitude $=| - 8|=8$.

Step2: Recall period formula

For $y = A\cos(Bx)$, period is $T=\frac{2\pi}{|B|}$. Here $B=\frac{1}{2}$, so $T=\frac{2\pi}{\left|\frac{1}{2}\right|}=4\pi$.

Answer:

The amplitude is 8. The period is $4\pi$.