https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:shift/v/shifting-functions-intro 2022-10-06T23:23:50.639907812Z Shifting functions introduction The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k>0) or down (when k<0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h>0) or to the left (when h<0) video https://cdn.kastatic.org/ka_thumbnails_cache/18a9ce28-bc60-4e91-b6bf-2f2dbac34458_1280_720_base.png Shifting functions introduction The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k>0) or down (when k<0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h>0) or to the left (when h<0) https://cdn.kastatic.org/ka-youtube-converted/RttvubuBhAE.mp4/RttvubuBhAE.mp4 338 Shifting functions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:shift/v/shifting-functions-examples 2022-10-06T23:23:50.639907812Z Shifting functions examples Sal analyzes two cases where functions f and g are given graphically, and g is a result of shifting f. He writes formulas for g in terms of f and in terms of x. video https://cdn.kastatic.org/ka_thumbnails_cache/98020ea2-d234-49f0-9393-ea9249db0090_1280_720_base.png Shifting functions examples Sal analyzes two cases where functions f and g are given graphically, and g is a result of shifting f. He writes formulas for g in terms of f and in terms of x. https://cdn.kastatic.org/ka-youtube-converted/MDav5OMpCto.mp4/MDav5OMpCto.mp4 462 Shifting functions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:shift/v/graphing-shifted-functions 2022-10-06T23:23:50.639907812Z Graphing shifted functions Given the graph of f(x)=x², Sal graphs g(x)=(x-2)²-4, which is the graph of f shifted 2 units to the right and 4 units down. video https://cdn.kastatic.org/ka_thumbnails_cache/1ed92f50-70d7-4454-ac21-374610fed4eb_1280_720_base.png Graphing shifted functions Given the graph of f(x)=x², Sal graphs g(x)=(x-2)²-4, which is the graph of f shifted 2 units to the right and 4 units down. https://cdn.kastatic.org/ka-youtube-converted/5DLkB-g8Rr8.mp4/5DLkB-g8Rr8.mp4 168 Shifting functions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:shift/e/shift-functions 2026-04-30T21:00:44.23618726Z Shift functions Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts. Stacy Beaudoin exercise