Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function below.

Question

Answer 1

2x^2 +4x -1 complete the square by adding 2 and subtracting 2

2(x^2 + 2x + 1) - 1 -2

2(x+1)^2 -3

vertex is (-1,-3) axis of symmetry is x=-1 same as the x coordinate of the vertex