Answer:
To graph h(x) = 7sin(x), we need to plot a set of points that satisfy the equation. To do this, we can pick several values of x, substitute them into the equation and find the corresponding y values.
We can use the fact that h(x) = 7sin(x) = 7sin(x + 2π) = 7sin(x + 4π) = .... = 7sin(x + 2nπ) , for any integer n.
The graph of h(x) = 7sin(x) is a sine function with an amplitude of 7 and a period of 2π.
It oscillates between -7 and 7 and the graph will look like a wave that oscillates between y = -7 and y = 7.
It has a horizontal shift of 2π to the right.
It is not possible to graph the function here but you can easily plot it using a graphing calculator or a program like Desmos.
Explanation: