Write an equation for the function whose graph is shown in the image. The graph shows a transformation of a common function. (Type an equation using x and y variables. Use integers or decimals for any numbers in the equation.)
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.
The given graph is transformation of graph of function .
From the given graph it can be concluded that the there have been two transformation horizontal shift to left and vertically downward shift.
By sequence it is observed that horizontal shift is performed first.
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