9. The graph shown below is a translation of the graph of the quadratic parent function. Write the function for the graph in vertex form.
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Bonus Knowledge
To convert the graph of the quadratic function into vertex form, you need to identify the vertex of the parabola, which is typically represented as \((h, k)\) in the vertex form \(f(x) = a(x-h)^2 + k\). Let’s say the vertex you identified is \((h, k)\), and you have determined the vertical stretch/compression factor \(a\) based on how the parabola opens. Plug these values into the formula: \(f(x) = a(x-h)^2 + k\). Once in this form, you can easily graph it or perform further transformations. The vertex form highlights the vertex directly, making it easier to understand the key features of the parabola and to sketch it accurately.
