Adrienne said that a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex produce the graph of the function g(x)=4ex-1+3. Explain whether Adrienne is correct and if not determine the transformations that produce the graph of the function g(x)=4ex-1+3 from f(x)=ex.
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Adrienne said that a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex produce the graph of the function g(x)=4ex-1+3. Explain whether Adrienne is correct and if not determine the transformations that produce the graph of the function g(x)=4ex-1+3 from f(x)=ex.
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