These equations are all in vertex form, and each represents a parabolic function. The vertex form of a quadratic function is given as:
y = a(x - h)^2 + k
where (h,k) represents the vertex of the parabola and 'a' defines whether the parabola will open upwards or downwards.
y = -1(x+3)^2 + 4Vertex: (-3, 4), opens downwards
y = (x-5)^2 + 4Vertex: (5, 4), opens upwards
y = -(x-2)^2 + 4Vertex: (2, 4), opens downwards
y = -(x-1)^2 - 1Vertex: (1, -1), opens downwards
These equations are all in vertex form, and each represents a parabolic function. The vertex form of a quadratic function is given as:
y = a(x - h)^2 + k
where (h,k) represents the vertex of the parabola and 'a' defines whether the parabola will open upwards or downwards.
y = -1(x+3)^2 + 4
Vertex: (-3, 4), opens downwards
y = (x-5)^2 + 4
Vertex: (5, 4), opens upwards
y = -(x-2)^2 + 4
Vertex: (2, 4), opens downwards
y = -(x-1)^2 - 1
Vertex: (1, -1), opens downwards