-3 (x + 4)² + 1 is the quadratic equation that reveals its maximum or minimum value without changing the form of the equation. This parabola has maximum value at its vertex (-4, 1).
The vertex of a parabola is a point at which the parabola makes its sharpest turn. A parabolic function has either a maximum value or a minimum value.
Vertex Form: y = a(x - h)²+ k
which is same as -3 (x + 4)² + 1
Whether the parabola has maximum or minimum value depends upon the value of a.
Since, a is negative, the parabola has maximum value.
The vertex is located at (h, k) = (-4, 1).
Learn more about vertex here
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