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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.

Complete the square to write each equation in vertex form. Then, state whether the-example-1
User Thclpr
by
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2 Answers

3 votes

Answer:

vertex form: y = (x + 1)² - 3

the vertex is minimum

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

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)

User Dave Anders
by
8.5k points
3 votes
  • 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
User Rikin
by
7.9k points

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