Math Central on Instagram: "Quadratic transformations describe how the graph of a quadratic function changes when we apply operations such as shifting, reflecting, stretching, or compressing. Starting from the basic function f(x) = x^2, vertical shifts occur when a constant is added or subtracted, moving the parabola up or down, while horizontal shifts occur when the input is adjusted, moving it left or right. Reflections are produced by multiplying the function by -1, flipping the parabola acro

Math Central on Instagram: "Cramer’s Rule is a method in linear algebra used to solve a system of linear equations with the same number of equations as unknowns, provided the system has a unique solution. It works by expressing each variable as a ratio of determinants. For a system AX = b, where A is a square coefficient matrix and b is the constant vector, the solution for the i-th variable is given by det(A_i) / det(A). Here, det(A) is the determinant of the coefficient matrix, and det(A_i) is