SOLUTION: Please help me with this problem: Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the quadratic function {{{y = 2x^2 + 2x - 3.}}}

Algebra ->  Finance -> SOLUTION: Please help me with this problem: Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the quadratic function {{{y = 2x^2 + 2x - 3.}}}      Log On


   

Question 988024: Please help me with this problem:
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the quadratic function y+=+2x%5E2+%2B+2x+-+3.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Meaning, change from general form into standard form, which utilizes Completing the Square.

See here: http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this problem:
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the quadratic function y+=+2x%5E2+%2B+2x+-+3.
Axis of symmetry/x-coordinate of vertex: x+=+-+2%2F%282+%2A+2%29, or x+=+-+1%2F2

y-coordinate of vertex: 2%28-+1%2F2%29%5E2+%2B+2%28-+1%2F2%29+-+3, or 2%281%2F4%29+-+1+-+3, or -+3%261%2F2

Coordinates of vertex: (-+1%2F2%22%2C%22-+3%261%2F2)