Question $1(3$ points$)$:

Purpose: To practice plotting with a simple loop

In their simplest form, computers are often used to plot or graph mathematical equations. For this question, you'll write a program to plot very simple polynomials of the form $A{x}^B+C.$

Plotting with Matplotlib

To do the actual plotting, we will use the matplotlib library. This library is NOT standard, so you may need to install it separately. If you installed Python with Anaconda, hopefully this is as simple as bring up a terminal and typing conda install matplotlib.

A code example has been provided showing how to make a very simple plot using matplotlib. Take a look at it and play around until you understand what the different function calls do$.$

Plotting Polynomials

Write a program that first asks the user for the following information:

The values to use for $\frac{?}{\text{b}\text{a}\text{r}}(A),B$ and $C$ for the polynomial

How many points to plot $($which we'll call $N)$

Then, write a loop to add all $N$ points to the plot. The $x$ coordinate for the points should go from O to $N-1,$ going up by $1$ each time. The $y$ coordinate for each point is given by the formula for our polynomial, $y=A{x}^B+C$

Once all the points have been added, show the plot using matplotlib's $.$ show $()$ method.