Question

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answer 1

• Direction: Opens up
• Coordinates of the vertex:  (-1, -3)
• Vertex: -3
• The vertex is a minimum

• Axis of symmetry: x = -1

• Vertex form: $y = (x + 1)^{2} -3$

Answer 2

Answer:

          vertex form:    y = (x + 1)² - 3

          the vertex is minimum

          coordinates of the vertex:  (-1, -3)

Step-by-step explanation:

$y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}$

a = 1 > 0  ← it means the parabla opens up, so, the vertex is minimum

The vertex form is  y = a(x - h)² + k, where (h, k) is the vertex

So, from  y = (x + 1)² - 3   the vertex is:  (-1, -3)