What type of curves does the equation y = a sin(bx + c) represent?
Correct Answer: Sine waves
- Step 1: Identify the equation given, which is y = a sin(bx + c).
- Step 2: Recognize that this equation represents a sine wave, which is a type of curve.
- Step 3: Understand that 'a' affects the height of the wave, known as amplitude.
- Step 4: Realize that 'b' affects how many waves fit into a certain distance, known as frequency.
- Step 5: Note that 'c' shifts the wave left or right, changing its starting point.
- Step 6: Conclude that the equation describes a family of sine waves with different heights and frequencies.
No concepts available.
