Define the function f(x) = x 2 + 2x + c. Assume c is a positive parameter.

i. Find the roots of this quadratic.

ii. Define the axis of symmetry and explain how it is related to the roots.

iii. Does f(x) reach a maximum or a minimum and at which value of x. Do not use calculus.

iv. What is the value of f(x) at the maximum or minimum?

v. Graph f(x) showing what you discovered in parts i, ii, iii and iv above.