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MVNU Students Ho...
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Trigonome tric Graphs
Writing the equation of a sine or cosine function given its graph: Problem...
Jameson
Español
Write an equation of the form 
y=a sin bx or 
y=a cos bx to describe the graph below.
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Explanation
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Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonome tric Graphs\newlineWriting the equation of a sine or cosine function given its graph: Problem...\newlineJameson\newlineEspañol\newlineWrite an equation of the form y=asinbx y=a \sin b x or y=acosbx y=a \cos b x to describe the graph below.\newlineEspañol\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility\newlineType here to search

Full solution

Q. Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonome tric Graphs\newlineWriting the equation of a sine or cosine function given its graph: Problem...\newlineJameson\newlineEspañol\newlineWrite an equation of the form y=asinbx y=a \sin b x or y=acosbx y=a \cos b x to describe the graph below.\newlineEspañol\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility\newlineType here to search
  1. Identify Amplitude: Identify the amplitude aa from the graph by looking at the maximum or minimum value of the function.
  2. Determine Period: Determine the period (2π/b)(2\pi/b) by finding the length of one complete cycle of the graph.
  3. Decide Function Type: Decide whether the graph represents a sine or cosine function based on its starting point. If it starts at a maximum or minimum, it's a cosine function; if it starts at the midline going upwards, it's a sine function.
  4. Identify Shifts: Identify any phase shift (horizontal shift) and vertical shift if present.
  5. Write Equation: Write the equation using the identified values for aa, bb, and any shifts. If there's a mistake in the calculation of aa or bb, the equation will be incorrect.

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