A parabola has its vertex at (3, -2) and passes through the point (5, 6). What is the equation of the parabola in vertex form?

Wed, 06 May 2026 23:06:06 +0000

**What Is the Equation of a Parabola with Vertex at (3, -2) Passing Through (5, 6)?** A question gaining quiet traction among students, educators, and curious minds: what math equation describes a parabola defined by its vertex at (3, -2) and confirmed to pass through (5, 6)? This isn’t just a classroom problem—it reflects emerging patterns in data modeling, digital design, and geometric applications shaping how we understand curves in UI, analytics, and trend projection. For those engaging with STEM education, graphing technologies, or modern applications of quadratic functions, this equation matters. But what exactly does it look like—and why does it matter beyond schoolwork? **Why This Parabola Is Entering the Conversation**