Find the axis of symmetry
y = -x^2 + 3x - 3
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To find the axis of symmetry of a quadratic equation, you need to remember that the axis of symmetry is a vertical line that divides the parabola into two mirror images.
The equation you provided is in the form of a quadratic function: y = ax^2 + bx + c. The axis of symmetry can be found using the formula: x = -b / (2a).
In the given equation, y = -x^2 + 3x - 3, you can identify that a = -1 and b = 3. Plugging these values into the formula, you get:
x = -(3) / (2(-1))
x = -3 / -2
x = 3/2
Therefore, the axis of symmetry is x = 3/2.