A family of parabolas satisfies the rule y = ax² + 2x + a. a) Express ax² + 2x + a in the form a(x + b)2 + c for real numbers b and c.

b) Give the coordinates of the turning point of the graph of y = ax² + 2x + a in
terms of a

c) For which values of a is ax + 2x + a a perfect square?

d) For which values of a does the graph of y = ax + 2x + a have two x-axis intercepts?​