Learn How to Graph the Sine Function with a Reflection

The video tutorial covers the basics of graphing, focusing on amplitude, X scale, phase shift, and vertical translation. It explains how to graph functions with different parameters, discusses domain and range, and identifies intervals of increase and decrease. The tutorial emphasizes understanding the graph's behavior and provides techniques for accurate graphing.

What is the amplitude of a function if A is 3?

• 3

• 1

• 2

• 4

How do you calculate the period of a function with B as 1/2?

• π

• 4π

• 2π

• π/2

When graphing, what is the significance of starting from the initial point?

• It defines the vertical translation

• It helps in scaling the graph

• It sets the phase shift

• It determines the amplitude

What happens to the graph of a sine function when it is reflected?

• It shifts horizontally

• It shifts vertically

• It flips over the y-axis

• It flips over the x-axis

What is the range of a function with an amplitude of 3?

• 0 to 3

• -1 to 1

• -2 to 2

• -3 to 3

How do you determine the intervals where a graph is decreasing?

• By observing the phase shift

• By looking at the y-values

• By analyzing the x-values

• By checking the amplitude

What is the period of a function if the distance between two increasing intervals is 4π?

• 8π

• 6π

• 4π

• 2π