The vertex has a minimum value of (-4, -11)
(-3, -5)
The vertex of the positive parabola turns at point (-2, -11)
It is a parabola with its vertex at the origin and the arms going upwards.
20 and the vertex of the parabola is at (3, 20)
The vertex has a minimum value of (-4, -11)
(-3, -5)
The vertex of the positive parabola turns at point (-2, -11)
The minimum value of the parabola is at the point (-1/3, -4/3)
It is a parabola with its vertex at the origin and the arms going upwards.
20 and the vertex of the parabola is at (3, 20)
The vertex of a parabola is the minimum or maximum value of the parabola. To find the maximum/minimum of a parabola complete the square: x² + 4x + 5 = x² + 4x + 4 - 4 + 5 = (x² + 4x + 4) + (-4 + 5) = (x + 2)² + 1 As (x + 2)² is greater than or equal to 0, the minimum value (vertex) occurs when this is zero, ie (x + 2)² = 0 → x + 2 = 0 → x = -2 As (x + 2)² = 0, the minimum value is 0 + 1 = 1. Thus the vertex of the parabola is at (-2, 1).
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
The given equation is not that of a parabola.
By completing the square y = (x+3)2+1 Axis of symmetry and vertex: x = -3 and (-3, 1) Note that the parabola has no x intercepts because the discriminant is less than zero
-2-5
The vertex is at (-1,0).