The table shows fuel consumption (in billions of gallons) by all non-military motor vehicles in selected years. Let x =0 correspond to 1970. Using (5,102.0) as the vertex and the data for 1990, find a quadratic function f(x) = a(x-h) +k that models this data. Use the model to estimate fuel consumption in 1992. What is the quadratic function that models the data? fw) = x-D •O (Round to three decimal places as needed.) Year Fuel Consumption 1975 102.0 1980 104.5 1985 110.9 1990 119.8

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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.