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Trigonometric Graph Question...!! Please help!?
The function g(x) = p sin x + q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and q.
Please help me...give me a step by step explanation... thanks :)
1 Answer
- Big OrangeLv 68 years agoFavorite Answer
P is the amplitude of the function. Amplitude us the distance from the center of the function to the highest point of the function (or half of the peak to peak value)
you are given the two peaks so you can use the second method to find the amplitude
10-(-4) / 2 = 14/2 = 7
p=7
q is the distance from the center of the graph from the x axis...can also be said that q equals the max value minus the amplitude.
q = 10-7 = 3
so the function is g(x) = 7sin x + 3
