use transformations to describe the graph is related to an exponential Function y = b* b. Identify the domain range, y-intercept and horizontal asymptotes c- sketch the graph
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Identifying transformations allows us to quickly sketch the graph of functions. ...
If a positive constant is added to a function, f(x)+k, the graph will shift up. ...
If a positive constant is added to the value in the domain before the function is applied, f(x+h), the graph will shift to the left
All other exponential functions are modifications to this basic form. Transformations are changes to the graph. Transformations include vertical shifts, horizontal shifts, and graph reversals. Changing the sign of the exponent will result in a graph reversal or flip.
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Identifying transformations helps us to quickly draw a function graph.
Step-by-step explanation:
1. When a positive constant, f(x)+k, is introduced to a function, the graph shifts upward.
2. If a positive constant is added to the domain value before applying the function, f(x+h), the graph shifts to the left.
3. Every other exponential function is a variation on this fundamental form. Transformations are modifications to the graph. Vertical shifts, horizontal shifts, and graph reversals are examples of transformations. Changing the sign of the exponent causes the graph to revert or flip.
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