Which is the equation for the axis of symmetry of y = 1/2x^2 - 2x - 3?
a) y = 2
b) x = -2
c) y = -2
d) x = 2
The equation for the axis of symmetry of a quadratic function in the form y = ax^2 + bx + c is given by x = -b/2a.
In the given equation y = 1/2x^2 - 2x - 3, the coefficient of x is -2, and the coefficient of x^2 is 1/2.
Thus, substituting these values into the equation x = -b/2a, we have x = -(-2)/(2*(1/2)).
Simplifying this expression, we get x = 2/(2/2), which simplifies further to x = 2/(1), resulting in x = 2.
Therefore, the equation for the axis of symmetry is x = 2.
So, the correct answer is d) x = 2.