Find the minimum value of the parabola y=x^2-3x Simplify your answer and write it as a proper fraction improper fraction, or integer. square

To find the minimum value of the parabola , we can complete the square to equation in vertex form.Step 1: Start with the given equation: Step 2: Complete the square by adding and subtracting inside the parentheses: Step 3: The vertex form of a parabola is , where is the vertex of the parabola. In this case, the vertex is .Step 4: Since the coefficient of is positive, the parabola opens upwards. Therefore, the vertex represents the minimum point of the parabola.Step 5: The minimum value of the parabola is the y-coordinate of the vertex, which is .Therefore, the minimum value of the parabola is .