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The family of curves represented by y = a sin(bx + c) is known as:

Practice Questions

Q1
The family of curves represented by y = a sin(bx + c) is known as:
  1. Linear functions
  2. Trigonometric functions
  3. Polynomial functions
  4. Exponential functions

Questions & Step-by-Step Solutions

The family of curves represented by y = a sin(bx + c) is known as:
  • Step 1: Identify the equation given, which is y = a sin(bx + c).
  • Step 2: Recognize that 'a', 'b', and 'c' are parameters that can change the shape and position of the sine wave.
  • Step 3: Understand that changing 'a' affects the amplitude (height) of the wave.
  • Step 4: Know that changing 'b' affects the frequency (how many waves fit in a given space) of the wave.
  • Step 5: Realize that changing 'c' shifts the wave left or right on the graph.
  • Step 6: Conclude that all these variations create different curves, which is why we call it a family of curves.
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