The function $f(x) = x^2$ is transformed to $g(x) = 4(x+2)^2 - 1$. State the transformations that map the graph of $f(x)$ to the graph of $g(x)$, clearly indicating the order in which they occur.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 3 marks, testing your understanding of Function Transformations. It falls under Functions, relations and graphs in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.
transformation from $y=f(x)$ to $y=A f(n(x+b))+c$, where $A, n, b$ and $c \in R, A, n \neq 0$, and $f$ is one of the functions specified above, and the inverse transformation
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