What is the amplitude and the equation of the midline of the curve y=5sin(x)+3 ?
To determine the amplitude and equation of the midline for the curve y = 5sin(x) + 3, you need to understand the properties of the sine function. Here's how you can find the amplitude and midline:
1. Amplitude: The amplitude of the sine function determines the maximum displacement from the midline. It can be found by looking at the coefficient of the sine term. In this case, the coefficient of sin(x) is 5, so the amplitude is |5|, which means the amplitude is 5.
2. Midline: The midline is the horizontal axis that the graph oscillates around. For the sine function, the midline is equal to the vertical shift of the graph. In this case, the equation is y = 5sin(x) + 3, so the midline is y = 3.
To summarize:
- The amplitude is 5.
- The midline is y = 3.
By knowing these properties, you can describe the behavior of the given function y = 5sin(x) + 3 accurately.