17. Identify the amplitude, period, and vertical shift for the function shown. Then write an equation that represents the curve.
m
A=
B=
P=
C=
f(x)=

Step-by-step explanation:

Because the function is symmetric about the y-axis, using the cosine function is most appropriate.

Refer to the equation for a cosine function:

Amplitude:

Period:

Phase shift:

Midline:

The amplitude would be the average of the maximum and minimum y-values of the function, which would be .

The value of in represents the length of the period, so since the length of the period is , this means that .

The phase shift, , describes the horizontal shift of a function. Because the phase shift is , then we can set up the equation where we determine .

The midline (or vertical shift), , is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line , therefore, .

Putting all our information together, your final equation is:

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168