1. Given f(x) = 2x² + 4x - 1:

a. Find the vertex algebraically.

b. Find the axis of symmetry.

c. Determine whether there is a minimum or a maximum and find that value.Write as an ordered pair.

d. Find the zeros of the function algebraically. Leave your answer in simplified radical form.

e. Find the intervals on which the function is increasing and decreasing.

f. Graph this function. Label the x and y intercepts and the vertex.