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
Step-by-step 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
