A1.PAFR.4: Reason with parent functions in varying representations to find families of functions that all have similar distinguishing attributes common to the family and use common characteristics to aid in rewriting and identifying linear, linear absolute value, quadratic, and exponential functions.

Reason with parent functions in varying representations to find families of functions that all have similar distinguishing attributes common to the family and use common characteristics to aid in rewriting and identifying linear, linear absolute value, quadratic, and exponential functions.

A1.PAFR.4.1Describe the effect of the transformations kf(x), f(x) + k, f(x - k), and combinations of such transformations on the graph of parent function y = f(x) for any real number k; find the value of k given the graphs; and write the equation of a transformed parent function given its graph.A1.PAFR.4.2Given a real-world or mathematical situation, determine the parent graph that best models the situation.A1.PAFR.4.3Given different representations of two different functions, compare key features including intercepts, domain and range, intervals of increasing and decreasing, constant, average rate of change, and maximum and minimum values.
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