Which of the following represents a family of curves for the equation y = a sin(bx)?
Correct Answer: y = a sin(bx)
- Step 1: Understand the equation y = a sin(bx).
- Step 2: Identify 'a' in the equation. This represents the amplitude, which is the height of the wave from the center line.
- Step 3: Identify 'b' in the equation. This represents the frequency, which affects how many waves fit into a certain distance.
- Step 4: Realize that changing 'a' will make the waves taller or shorter, while changing 'b' will make the waves closer together or further apart.
- Step 5: Recognize that different values of 'a' and 'b' create different sine waves, forming a family of curves.
No concepts available.
