What are the coordinates of the vertex of the parabola with the equation y = x² + 2x – 3?

Solution:

The equation of parabola y = ax² + bx + c

The vertex of the parabola is given by (h,k).

x coordinate of vertex h = -b/2a

y coordinate of vertex k = y(h)

From the equation given

a = 1, b = 2 and c = -3

x coordinate h = -b/2a

h = -2/(2 × 1)

h = -2/2

h = -1

y coordinate k = y (-1)

Substituting -1 in the equation

k = (-1)² + 2(-1) - 3

k = 1 - 2 - 3

k = 1 - 5

k = -4

Therefore, the coordinate of the vertex is (-1, -4).

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What are the coordinates of the vertex of the parabola with the equation y = x² + 2x – 3?

Summary:

The coordinates of the vertex of the parabola with the equation y = x² + 2x – 3 is (-1, -4).