ketch and label the following graphs in your notebook. Get a tutor to check your graphs.1. 𝑦=sin(𝑥) over the domain [0,4𝜋].2. 𝑦=cos(𝑥) over the domain [0,4𝜋].

Consider the function 𝑓(𝑥)=𝑥3−6⋅𝑥2. Find the relevant curve sketching information and then select the correct graph from the list below.

What is the first step to graphing sine and cosine functions?Group of answer choicesFind the values of 𝑥 for the five key points.Find the values of 𝑦 for the five key points.Connect the five key points with a smooth curve and graph one complete cycle of the given function.Identify the amplitude and the period.

Graph the function.g(x) = 5 cos(x)The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts on the x-axis at x = −𝜋, goes up and right becoming less steep, changes direction at the point (−𝜋⁄2, 5), goes down and right becoming more steep, crosses the x-axis at x = 0, goes down and right becoming less steep, changes direction at the point (𝜋⁄2, −5), goes up and right becoming more steep, and stops on the x-axis at x = 𝜋.The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts on the x-axis at x = −𝜋, goes down and right becoming less steep, changes direction at the point (−𝜋⁄2, −5), goes up and right becoming more steep, crosses the x-axis at x = 0, goes up and right becoming less steep, changes direction at the point (𝜋⁄2, 5), goes down and right becoming more steep, and stops on the x-axis at x = 𝜋.The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts at the point (−𝜋, 5), goes down and right becoming more steep, crosses the x-axis at x = −𝜋⁄2, goes down and right becoming less steep, crosses the y-axis at y = −5, goes up and right becoming more steep, crosses the x-axis at x = 𝜋⁄2, goes up and right becoming less steep, and stops at the point (𝜋, 5).The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts at the point (−𝜋, −5), goes up and right becoming more steep, crosses the x-axis at x = −𝜋⁄2, goes up and right becoming less steep, crosses the y-axis at y = 5, goes down and right becoming more steep, crosses the x-axis at x = 𝜋⁄2, goes down and right becoming less steep, and stops at the point (𝜋, −5).The next cycle starts at x = 𝜋.State the domain and range. (Enter your answers using interval notation.)domain range

The sine function 𝑓(𝑥)=sin⁡(𝑥) is reflected in the 𝑥-axis.Which of these transformations would give the same result on the sine graph?

Which of the graphs is the graph of y=−2sin(x+π4)𝑦=−2sin⁡(𝑥+𝜋4)?