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Rewrite the following 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 = = =
= - 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".