Look at the polynomial below.

y = ax^3 + bx^2 + cx + d

Graph this using any graphing technology of your choice. However, replace the variables a, b, c, and d with numbers. For example, you could graph y = 2x3 + 3x2 – x + 2. Observe the graphed outcomes. This is an investigation process to see what types of curves and lines you can produce with this equation.

Special Note: You may make any coefficient zero. This eliminates the variable. For example, if you wanted to make y = 3x2 + 2, a and c would be zero to cancel out the x3 and the x terms.

Question

Look at the polynomial below. 

y = ax^3 + bx^2 + cx + d 

Graph this using any graphing technology of your choice. However, replace the variables a, b, c, and d with numbers. For example, you could graph y = 2x3 + 3x2 – x + 2. Observe the graphed outcomes. This is an investigation process to see what types of curves and lines you can produce with this equation.

Special Note: You may make any coefficient zero. This eliminates the variable. For example, if you wanted to make y = 3x2 + 2, a and c would be zero to cancel out the x3 and the x terms.