Exploring Absolute Value Transformations f(x)+d and f(x-c)

Master absolute value function transformations! Discover how f(x)+d and f(x-c) shift graphs with interactive practice.

Desmos Exploration: f(x) + d Use this Desmos graph to explore how "d" affects the absolute value function. Fill in the Blank Click on the dot to type the word that correctly completes the sentence. up down Desmos Exploration: f(x - c) Use this graph to explore how "c" affects the absolute value function. Fill in the Blank Click on the dot to type the word that correctly completes the sentence. right left Practice Identifying Translations Sort the functions by how they transformed compared to the absolute value parent function f(x) = |x|. UP g(x) = f(x) + 6 g(x) = f(x) + 3 Down g(x) = f(x) - 6 g(x) = f(x) - 3 Right g(x) = f(x - 6) g(x) = f(x - 3) Left g(x) = f(x + 6) g(x) = f(x + 3) How does the graph of f(X) = |x| compare to the graph of g(x) = f(x - 3) + 5? Select all that apply. vertically translates up 5 units vertically translates down 5 units vertically translates up 3 units vertically translates down 3 units horizontally translates right 5 units horizontally translates left 5 units horizontally translates right 3 units horizontally translates left 3 untis Which of the following functions represents a transformation of f(x)=|x| that has been horizontally translated 7 units left and 6 units down? g(x) = f(x + 7) + 6 g(x) = f(x - 7) - 6 g(x) = f(x + 7) - 6 g(x) = f(x - 7) + 6 Matching Translations Match the graph to the description of the transformation. vertical translation down 4 units horizontal translation right 4 units horizontal translation left 4 units