What is the vertex of the parabola whose equation is y = (x + 1)² + 3?

Solution:

Vertex of the parabola is the point where the parabola crosses its axis of symmetry.

The equation of the parabola in vertex form is given by y = a(x - h)² + k -------- (1)

Where, (h,k) represents the vertex.

Given, the equation of parabola is y = (x + 1)² + 3 ------------ (2)

Comparing (1) and (2),

a = 1

h = -1

k = 3

Vertex (h,k) = (-1,3)

Therefore, the vertex of the parabola is (-1,3).

What is the vertex of the parabola whose equation is y = (x+1)² + 3?

Summary:

The vertex of the parabola whose equation is y = (x+1)² + 3 is (-1,3).