  The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.y =-A-6-9-10

Question help_outlineImage TranscriptioncloseThe following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. y = -A -6 -9 -10 fullscreen
Step 1

Given graph resembles a cosine from π to 3π/4 with amplitude 5. help_outlineImage Transcriptionclose4T The period = T 4 Period COs base periodicity b 27T b 27T b= 2 So, vertical shift is -5 and horizontal shift is -/2 C -T 4 2 -(2) C = 2 fullscreen
Step 2

Now substitute the values of A, B, C and D i... help_outlineImage Transcriptionclosey Acos(Bx-C)+D y = 5cos 2x -5 y5cos 2x - 5 2 fullscreen

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