<\/span><\/h2>\nTo find the minimum y value of a parabola, we must first identify its vertex. The vertex represents the lowest or highest point on the curve, depending on whether the parabola opens upwards or downwards. Follow these steps to locate the vertex:<\/p>\n
1. Identify the coefficients of the quadratic equation:<\/b> A quadratic equation is written in the form of y = ax^2 + bx + c. In this equation, a, b, and c represent coefficients.<\/p>\n
2. Identify the vertex formula:<\/b> The formula to find the x-coordinate of the vertex is given by x = -b \/ (2a). This formula helps determine the midpoint between the two x-intercepts.<\/p>\n
3. Substitute the x-coordinate back into the equation:<\/b> Use the value obtained in the previous step and substitute it into the original quadratic equation to determine the corresponding y-coordinate.<\/p>\n
4. Verify the direction of the parabola:<\/b> The direction of the parabola can be determined by the value of ‘a’. If ‘a’ is positive, the parabola opens upwards, and the vertex represents the minimum point. Conversely, if ‘a’ is negative, the parabola opens downwards, and the vertex represents the maximum point.<\/p>\n
5. Observe and record the vertex:<\/b> The obtained x and y values represent the coordinates of the vertex. The y value is the minimum y value of the parabola.<\/p>\n
The answer to the question “How to find the minimum y value of a parabola?” is by locating its vertex using the steps described above.<\/b><\/p>\n