Algebra I Module 4, Topic C, Lesson 20

Class in Lecture Hall

Student Outcomes

  • Students recognize and use parent functions for absolute value, quadratic, square root, and cube root to perform transformations that stretch and shrink the graphs of the functions.  They identify the effect on the graph of y = f(x) when f(x) is replaced with kf(x) and f(kx), for any specified value of k, positive or negative, and identify the constant value, k, given the graphs of the parent functions and the transformed functions.   Students write the formulas for the transformed functions given their graphs. 

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Common Core Learning Standards

CCLS State Standard
F.IF.7.b Graph square root, cube root, and piecewise-defined functions, including step functions and...
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for...

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