Answer:
Part 1) "a" value is

Part 2) The vertex is the point

Part 3) The equation of the axis of symmetry is

Part 4) The vertex is a minimum
Part 5) The quadratic equation in standard form is

Explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
if a > 0 then the parabola open upward (vertex is a minimum)
if a < 0 then the parabola open downward (vertex is a maximum)
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so

In this problem we have
-----> this is the equation in vertex form of a vertical parabola
The value of

so
a>0 then the parabola open upward (vertex is a minimum)
The vertex is the point

so

The equation of the axis of symmetry is

The equation of a vertical parabola in standard form is equal to

Convert vertex form in standard form




see the attached figure to better understand the problem