which equation represents the axis of symmetry of the function
y=-2x^2+4x-6?
The axis of symmetry of a quadratic function takes the form x = h, where h is the x-coordinate of the vertex. To find the x-coordinate of the vertex, you can use the formula x = -b/2a.
For the equation y = -2x^2 + 4x - 6, the coefficient of x^2 is -2 (a) and the coefficient of x is 4 (b). Plugging these values into the formula, you get x = -4 / (2 * -2) = -4 / -4 = 1.
Therefore, the equation that represents the axis of symmetry is x = 1.