How to Write the Equation of a Quadratic Function Given Its Graph | Algebra

Explaining The Universe on Instagram: "A parabola is a U-shaped curve that appears when you graph a quadratic function, and it can open upward, downward, or sideways depending on its orientation. Mathematically, a parabola is the set of all points that are the same distance from a fixed point, called the focus, and a fixed line, called the directrix. The midpoint between the focus and directrix is the vertex, which is the point where the parabola changes direction. • #explore #reels #viral #univ

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