Answer:

Explanation:
The general equation of a parabola in polynomial form is
y = ax² + bx + c
where a, b, c are constants
If a is > 0, the parabola opens upward and the vertex is a minimum
If a < 0, the the parabola opens downward and the vertex is a maximum
The vertex x value is given by the points

The given parabola equation is
y = 4x² + 4x - 15
Since we have a = 4, b = 4

To find the y value of the vertex,
, plug this value into the parabola equation and solve for y

So the vertex is at
and is a minimum