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Exponential Functions and their Graphs  Problem 6
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
When we're asked to describe a transformation from f(x) to g(x), we first need to decide what values have remained the same and what have changed. Anything that has changed will represent some sort of change in the graph that we'll need to describe in words. A number added or subtracted inside the exponent represents a change in x, or the horizontal placement, and a number added or subtracted outside the exponential term represents a change in y, or a vertical shift. A value multiplied by the exponential term will change the vertical stretch/compression and perhaps reflect the graph across the x axis. Keep in mind that these transformations affect the Domain and Range and asymptotes, too!
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Sample Problems (8)
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Exponential Functions and their Graphs
Problem 1 15,284 viewsGraph:
f(x) = 2^{x} 
Exponential Functions and their Graphs
Problem 2 10,764 viewsGraph:
f(x) = (½)^{x} 
Exponential Functions and their Graphs
Problem 3 10,152 viewsGraph:
f(x) = 10^{x − 2} + 1 
Exponential Functions and their Graphs
Problem 4 2,034 views 
Exponential Functions and their Graphs
Problem 5 2,118 views 
Exponential Functions and their Graphs
Problem 6 1,831 views 
Exponential Functions and their Graphs
Problem 7 1,771 views 
Exponential Functions and their Graphs
Problem 8 1,770 views
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