20 POINTS IF ANSWERED CORRECTLY AND BRAINLIEST PLEASE HELP ME (07.06 LC)
2 answers:
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Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = , Frequency
, equation :
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:
Amplitude is the difference between the maximum and minimum values
The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at
Thus the period is
The frequency is the reciprocal of the period:
The angular frequency is
The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:
Answer:
The slope remains a constant as it is parallel.
Explanation:
1. Line Q is defined as a slope of ; i.e.
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
