SOLUTION: Hi what is the vertex and the axis of symmetry of the following parabola. f(×)= 2x^2+6x+7 Thanks

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Question 1133223: Hi
what is the vertex and the axis of symmetry of the following parabola.
f(×)= 2x^2+6x+7
Thanks
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f(×)= 2x^2+6x+7
f%28x%29=+2x%5E2%2B6x%2B7

2%28x%5E2%2B3x%29%2B7
2%28x%5E2%2B3x%2B%283%2F2%29%5E2-%283%2F2%29%5E2%29%2B7-----this part is "Completing the Square".
2%28%28x%2B3%2F2%29%5E2-9%2F4%29%2B7
2%28x%2B3%2F2%29%5E2-9%2F4%2B28%2F4
2%28x%2B3%2F2%29%5E2%2B19%2F4
2%28x%2B3%2F2%29%5E2%2B4%264%2F5

vertex: ( -1.5, 4.8 )
symmetry axis: x=-1.5

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
On completing the square,  look into the lesson
    - HOW TO complete the square - Learning by examples
in this site.

On finding the vertex of a parabola,  look into the lessons
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.

From these sources,  learn the subject once and for all.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
what is the vertex and the axis of symmetry of the following parabola.
f(×)= 2x^2+6x+7
Thanks
x-coordinate of vertex, or axis of symmetry = 

Substituting y for f(x), and - 1.5 for x, we get: 

You don't have to complete the square in order to get the answer, unless instructed to, of course! 

IGNORE all other NONSENSICAL answers, such as y-coordinate of vertex is 4.8.