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Exponential Functions and their Graphs  Problem 4
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
All exponential growth functions, that is, when the base b > 1 , will have the same general shape and asymptotes as the parent function. To graph quickly, use rules of transformations. A number added or subtracted to x in the exponent will represent a horizontal shift, and a number added or subtracted to the exponential term will be a vertical shift. A number multiplied by the exponential term will cause a vertical stretch or compression, and if negative, will reflect the graph across the x axis. Don't forget to apply the horizontal and vertical shifts to the asymptote, as well! Verify your graph by plugging in an x,y pair.
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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 15,666 viewsGraph:
f(x) = 2^{x} 
Exponential Functions and their Graphs
Problem 2 11,068 viewsGraph:
f(x) = (½)^{x} 
Exponential Functions and their Graphs
Problem 3 10,447 viewsGraph:
f(x) = 10^{x − 2} + 1 
Exponential Functions and their Graphs
Problem 4 2,264 views 
Exponential Functions and their Graphs
Problem 5 2,348 views 
Exponential Functions and their Graphs
Problem 6 2,030 views 
Exponential Functions and their Graphs
Problem 7 1,953 views 
Exponential Functions and their Graphs
Problem 8 1,967 views
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