Graphs of Quadratic Functions in Vertex Form--Example 1

Topic

Quadratics

Description

The vertex form of a quadratic function is given by y = a(x − h)² + k, where (h , k) is the vertex of the parabola. This form is advantageous because it directly provides the vertex coordinates, making it easier to graph the function. The coefficient a determines the orientation and width of the parabola, allowing for a quick sketch. In this example, the vertex is clearly identified, and the parabola's direction is determined by the positive sign of a, facilitating an accurate graph.

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