The dotted red curve is the function, f(). The purple curve represents the function, g(x), formed by applying a series of transformations to f(x).
Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
A)- State the transformations applied to f(x) to form g(x). (Image of graph attached).
B)- Write an equation for g(x) in terms of f(x) using transformation notation. The final answer should be in the form g(x)=af(b(x-c))+d.
We are give the following graph of the function.
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