Rewriting Functions Using Transformations

00:00 3 marks

Consider the function \(f(x) = x^2\). Rewrite the function so that its graph is shifted 3 units to the right, reflected across the x-axis, and vertically stretched by a factor of 2. Provide the new function in terms of \(x\).

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Hint

Apply the transformations in the order given: horizontal shift, reflection, then vertical stretch. Remember how each transformation affects the function’s equation.

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\(-2(x-3)^2\)

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Rewriting Functions Using Transformations

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Rewriting Functions Using Transformations

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