SOLUTION: Rewrite the following equation in vertex form.  Tell whether the vertex is a minimum or a maximum y=x^2+6x-7

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Question 1088417: Rewrite the following equation in vertex form.  Tell whether the vertex is a minimum or a maximum y=x^2+6x-7
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
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Rewrite the following highlight%28cross%28equation%29%29 quadratic function in vertex form.  Tell whether the vertex is a minimum or a maximum y=x^2+6x-7
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Apply completing the square method.

y = x%5E2+%2B+6x+-+7 = %28x%5E2+%2B+6x+%2B+9%29 +-9+-+7 = 

= %28x%2B3%29%5E2 - 16.


The assignment is done. Your quadratic function is written in the vertex form.

The vertex has coordinates (x,y) = (-3,-16).

The quadratic function has a minimum.

This minimum is achieved at x = -3, and the minimal value is equal to -16.

Solved.


On finding the minimum of quadratic function by completing the square see the lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
    - A rectangle with a given perimeter which has the maximal area is a square
    - A farmer planning to fence a rectangular garden to enclose the maximal area
    - A farmer planning to fence a rectangular area along the river to enclose the maximal area
    - A rancher planning to fence two adjacent rectangular corrals to enclose the maximal area
    - Using quadratic functions to solve problems on maximizing revenue/profit
    - OVERVIEW of lessons on finding the maximum/minimum of a quadratic function

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".