5.1.1 Using Transformations to Graph Quadratic Functions (continued) Example 4 Writing Transformed Quadratic Functions A parabola’s vertex is its highest or lowest point. The vertex of the parent function f ( x ) = x 2 is at the origin. The vertex of other quadratic functions can be identified by analyzing the function in vertex form. The vertex form of a quadratic function is f ( x ) = a ( x − h ) 2 + k , where a , h , and k are constants. • a indicates a reflection across the x -axis or a vertical stretch or compression.
• h indicates a horizontal translation. • k indicates a vertical translation.
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