Write a quadratic function in the standard form y 5 ax2 1 bx 1 c, such that a, b, and c do not equal zero.

a) Describe at least two methods that can be used to determine the graph of your function.

b) Write the quadratic equation in vertex form.

c) Find the maximum or minimum value. Explain how you can determine this value.

d) Determine the zeros of your function. Give an algebraic reason for the existence or nonexistence of real-values zeros of your quadratic function.

Question

Write a quadratic function in the standard form y 5 ax2 1 bx 1 c, such that a, b, and c do not equal zero. 

a) Describe at least two methods that can be used to determine the graph of your function. 

b) Write the quadratic equation in vertex form. 

c) Find the maximum or minimum value. Explain how you can determine this value. 

d) Determine the zeros of your function. Give an algebraic reason for the existence or nonexistence of real-values zeros of your quadratic function.