Videos to help Algebra I students learn how to recognize and use parent functions for linear, absolute value, quadratic, square root, and cube root to
perform vertical and horizontal translations. They identify how the graph of y = f(x) relates to the graphs of y = f(x) + k
and y = f(x+k) for any specific values of k positive or negative, and find the constant value,
k, given the parent functions and the translated graphs. Students write the function representing the
New York State Common Core Math Module 4, Algebra I, Lesson 19
Plans and Worksheets for Algebra I
Plans and Worksheets for all Grades
Lessons for Algebra I
Common Core For Algebra I
Given any function, how does adding a positive or negative value,k , to f(x) or x affect the graph of the parent function?
The value of the constant shifts the graph of the original function k units up (if k > 0) and k units down (if k < 0) if k is added f(x) to such that the new function is (x) = f(x) + k.
The value k of shifts the graph of the original function k units to the left (if k > 0) and kunits to the right (if k < 0) if is added to f(x) such that the new function is g(x) = f(x + k).
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.