The function g is related to a parent function f(x) = sin(x). g(x) = 7 sin(4x 7r) 5 (a) Describe the sequence of transformations from fto g. g(x) is obtained by a of 7, a of 4, a of i to the right, and a downw: 4 (b) Sketch the graph of g. O (c) Use function notation to write 9 in terms of f. WE KENS) Need Help? 9. [-/1 Points] DETAILS LARPCALC10 4.5.068.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE A 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 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 n -2 -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 minimum value Submit Skip (you cannot come back)10. [-/1 Points] DETAILS LARPCALC10 4.5.072.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH 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 t skipped part. Tutorial Exercise Find a, b, and c for the function f(x) = a sin(bx - c) such that the graph of f matches the figure. 4 X -8-7-6-5-4-3-2-1 1 2 3 456 8 - 1 -2 -3 -4 -5 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 Submit Skip (you cannot come back)11. [-/1 Points] DETAILS LARPCALC10 4.5.076. MY NOTES ASK Write an equation for a function with the given characteristics. A sine curve with a period of 8x, an amplitude of 3, a left phase shift of /3, and a vertical translation down 4 units. f ( x ) = Need Help? Read It Watch It 12. [-/1 Points] DETAILS LARPCALC10 4.5.078. MY NOTES ASK Write an equation for a function with the given characteristics. A cosine curve with a period of 8x, an amplitude of 3, a right phase shift of /3, and a vertical translation up 2 units. f ( x ) = Need Help? Read It Watch It13. [-l1 Points] DETAILS LARPCALC10 4.5.081. The function P=1oo20cos 3 approximates the blood pressure P (in millimeters of mercury) at time t (in seconds) for a person at rest. (a) Find the period of the function. (b) Find the number of heartbeats per minute. I:] heartbeats per minute Need Help? | MY NOTES