A2.F.1.c
Graph a square root, cube root, rational, exponential, and logarithmic function, given the equation, using transformations of the parent function including 𝑓(𝑥) + 𝑘; 𝑓(𝑘𝑥); 𝑓(𝑥 + 𝑘); and 𝑘𝑓(𝑥), where 𝑘 is limited to rational values. Use technology to verify transformations of the functions.
Example Problems
The brightness of a distant supernova decreases with time t (in hours) according to
By what factor is the brightness multiplied each hour?
By what factor is the brightness multiplied each hour?
The price of a cryptocurrency follows
where t is the time in hours since tracking began. What percent is added to the price each hour?
where t is the time in hours since tracking began. What percent is added to the price each hour?
An insect population declines with time t (in years) according to
By what factor is the population multiplied each year?
By what factor is the population multiplied each year?
Khan Academy ResourcesGraphs of logarithmic functionsReflect functionsGraphs of exponential functionsTransforming exponential graphsGraphing logarithmic functions (example 1)Reflecting functions: examplesTransforming exponential graphs (example 2)Reflecting functions introductionGraphing logarithmic functions (example 2)

1-on-1 AI tutoring aligned to A2.F.1.c. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →