(PLATO) (GIVING BRAINLIEST) Part A
Describe the type of function shown in the graph.

Part B
What are the standard form and the factored form of the function?

Part C
What are the zeros of the function?

Part D
Use the zeros to find all of the linear factors of the polynomial function.

Part E
Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form.

Part F
Use the y-intercept of the graph and your equation from part E to calculate the value of a.

Part G
Given what you found in all of the previous parts, write the equation for the function shown in the graph.

Part H
Question
Plot the graph of the function you wrote in part G.

Part I
Question
Now, change your equation so that one or more zeros are changed to a different location, but the basic shape of the graph remains unchanged. (Maximums and minimums should remain about the same as before, if possible.)

Hint: Use the function in factored form. Use the sliders for a, b, and c to modify a zero and adjust the scale of the graph.