.
To find a vertex, use the standard formula for its x-coordinate
x = ,
where "a" is the coefficient at x^2 and B is the coefficient at x.
In your case, a = 2, b = 14, so x = = = -3.5.
To find y-coordinate of the vertex, calculate the function value at x= 3.5.
Happy calculations !
---------------
On finding the maximum/minimum of a quadratic function and its vertex 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
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".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.