Answer Happy

Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.) (a) y=4f(x) Shift 4 units upward. Shift 4 units downward. Shift 4 units to the right. Shift 4 units to the left. Stretch the graph vertically by a factor of 4 . Shrink the graph vertically by a factor of 4 . Stretch the graph horizontally by a factor of 4 . Shrink the graph horizontally by a factor of 4 . Reflect about the x-axis. Reflect about the origin. (b) y=f(x−6) Shift 6 units upward. Shift 6 units downward. Shift 6 units to the right. Shift 6 units to the left. Stretch the graph vertically by a factor of 6 . Shrink the graph vertically by a factor of 6 . Stretch the graph horizontally by a factor of 6 . Shrink the graph horizontally by a factor of 6 . Reflect about the x-axis: Roflect about the origin. (c) y=−f(x) Shift 1 unit upward. Shift 1 unit downward. Shift I unit to the right. Shift 1 unit to the left. Stretch the graph vertically by a factor of 1. IShink the graph vertically by a factor of a. Stretch the 9 raph horizontally by a factor of 1 .
(c) y=−f(x) Shift 1 unit upward. Shift 1 unit downward. Shift 1 unit to the right. Shift 1 unit to the left. Stretch the graph vertically by a factor of 1 . Shrink the graph vertically by a factor of 1 . Stretch the graph horizontally by a factor of 1 . Shrink the graph horizontally by a factor of 1 . Reflect about the x-axis. Reflect about the origin. (d) y=−2f(x) Shift 2 units upward. Shift 2 units downward. Shift 2 units to the right. Shift 2 units to the left. Stretch the graph vertically by a factor of 2 . Shrink the graph vertically by a factor of 2 . Stretch the graph horizontally by a factor of 2 . Shrink the graph horizontally by a factor of 2 . Reflect about the x-axis. Reflect about the origin. (e) y=f(8x) Shift 8 units upward. Shift 8 units downward. Shift 8 units to the right. Shirt 8 units to the left. Stretch the graph vertically by a factor of 8 . Shrink the graph vertically by a factor of B, ​ Stretch the graph horizontally by a factor of B. Shrink the greph horizontally by a factor of g. ​. Reflect about the x-axis.
Reflect about the origin. (e) y=f(8x) Shift 8 units upward. Shift 8 units downward. Shift 8 units to the right. Shift 8 units to the left. Stretch the graph vertically by a factor of 8 . Shrink the graph vertically by a factor of 8 . Stretch the graph horizontally by a factor of 8 . Shrink the graph horizontally by a factor of 8 . Reflect about the x-axis. Reflect about the origin. (f) y=4f(x)−2 Shift 4 units upward. Shift 2 units upward. Shift 4 units downward. Shift 2 units downward. Shift 4 units to the right. Shift 2 units to the right. Shift 4 units to the left. Shift 2 units to the left. Stretch the graph vertically by a factor of 4 . Stretch the graph vertically by a factor of 2 . Shrink the graph vertically by a factor of 4 . Shrink the graph vertically by a factor of 2 . Stretch the 9raph horizontally by a factor of 4 . Stretch the graph horizonitally by a factor of 2 . Shrink the graph horizontalfy by a factor of 4. Shrink the graph horizontally by a factor of 2 . Reffect about the x-axis resflect about the origin.