3. [-/1 Points] DETAILS LARPCALC10 4.5.006. Find the period and amplitude. y = 5 cos 2x period amplitude Need Help? Read It Watch It 4. [-/1 Points] DETAILS LARPCALC10 4.5.008. Find the period and amplitude. y = -7 sin( period amplitude Need Help? Read It Watch It5. [-I1 Points] DETAILS LARPCALC1O 4.5.020. Describe the relationship between the graphs of fand 9. Consider amplitude, period, and shifts. f(x) = cos 4x g(x) = 2 + cos 4X 0 The graph of g has an amplitude 2 times that of the graph of f. O The graph of g is a horizontal shift of the graph of f2 units to the right. 0 The graph of g is a vertical shift of the graph off2 units downward. O The graph of g is a reflection of the graph of fin the yaxis. O The period ofg is 2 that of f. Need Help? 6. [-/1 Points] DETAILS LARPCALC10 4.5.022. Describe the relationship between the graphs of f and g. Consider amplitude, period, and shifts. O The amplitude of g is one-half the amplitude of f. The amplitude of g is 2 times the period of f. O The period of g is one-half the period of f. The graphs of f and g differ only in their phase shift. O The period of g is 2 times the period of f. Need Help? Read It Watch It7. [-I1 Points] DETAILS LARPCALC10 4.5.046. MY NOTES E Sketch the graph of the function. (Include two full periods.) y=1+5cos_ 0 Need Help? 9. [0.14/1 Points] DETAILS PREVIOUS ANSWERS LARPCALC10 4.5.068.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. L X 2 7 -2 -4 - 6 -8 -12 Step 1 Recall that the amplitude of a curve represents half the distance between the maximum and minimum values of the function. From the graph shown, first find the maximum and the minimum values of the function to obtain the amplitude.maximum value . E: -1 minimum value - q {0- Step 2 Find the value of the amplitude. amplitude = %(maximum value minimum value) i( g) 2 . i( ) 2 Submit Eg (you cannot come back) 10. [0.13/1 Points] DETAILS PREVIOUS ANSWERS LARPCALC10 4.5.072.MI.SA. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTHEI This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to t skipped part Tutorial Exercise Find a, b, and c for the function f(x) = a sin(bx c) such that the graph of fmatches the gure. Step 1 Recall that the amplitude of a function is the vertical stretch or shrink of the basic curve. From the graph, the amplitude, a, is seen to be I J E . Step 2 Recall that the period of a curve is given by 2n b From the graph, first find the period-interval of the curve. 0 , Hence, the period is Submit Skip (you cannot come back)
