Starting with the graph of f(x)=7x, write the formula for the function that results from (a) shifting f(x) 5 units upward. y= (b) shifting f(x) 4 units to the right. y= (c) reflecting f(x) about the x-axis. y
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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.
Starting with the graph of f(x)=7x, write the formula for the function that results from
(a) shifting f(x) 5 units upward. y=
(b) shifting f(x) 4 units to the right. y=
(c) reflecting f(x) about the x-axis. y
The given function is .
a)
Write the formula for the function that results from shifting 5 units upward as follows.
Vertical shift:
The graph of is the graph of shifted up d units where .
Then, the formula for the function that results from shifting , 5 units upward is,
Therefore, the formula for the function that results from shifting 5 units upward is .
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