Graph of Quadratic Function g(x) = (x + 1)² - Vertex Form Example #214995 (License: Personal Use)

This image displays a vertically oriented parabola in red against a black background, representing the quadratic function g(x) = (x + 1)² in vertex form. The graph’s vertex lies at (-1, 0), confirming a horizontal shift left by one unit from the parent function y = x², with no vertical stretch or reflection. The symmetry axis is the line x = -1, and the function opens upward with a leading coefficient of 1.

Used in educational math content-especially algebra and precalculus-to illustrate transformations of quadratic functions, vertex form interpretation, and graphing techniques. Matches user intent for visual learning, homework help, or curriculum support.