This topic focuses on function transformations involving changes to the vertex of a function \( f(x) \). The exercises involve determining which function \( g(x) \) will have a specified vertex following a transformation. The transformations include scaling \( f(x) \), shifts along the \( x \)-axis or \( y \)-axis, and changes in the argument of \( f(x) \). Each problem provides two or more potential functions \( g(x) \), and the aim is to select the function that corresponds to the given vertex transformation. This kind of problem enhances understanding of the effects of algebraic manipulations on the graph of a function.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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