What kind of transformation converts the graph of f(x)=–2(x–4)2–9 into the graph of g(x)=–2(x–9)2–9?
Question
What kind of transformation converts the graph of f(x)=–2(x–4)2–9 into the graph of g(x)=–2(x–9)2–9?
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Solution 1
The transformation that converts the graph of f(x)=–2(x–4)²–9 into the graph of g(x)=–2(x–9)²–9 is a horizontal shift.
Here are the steps to identify the transformation:
- Compare the two functions. They both have the same form, which is a(x-h)²+k, where a is the coefficient of the squared term, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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