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. (d) y=3f(x) Shift 3 units upward. Shift 3 units downward. Shift 3 units to the right. Shift 3 units to the left. Stretch the graph vertically by a factor of 3 . Shrink the graph vertically by a factor of 3 . Stretch the graph horizontally by a factor of 3 . Shrink the graph horizontally by a factor of 3 . Reflect about the x-axis. Reflect about the origin. (e) y=f(7x) Shift 7 units upward. Shift 7 units downward. Shift 7 units to the right. Shift 7 units to the left. Stretch the graph vertically by a factor of 7 . Shrink the graph vertically by a factor of 7 . Stretch the graph horizontally by a factor of 7 . Shrink the graph horizontally by a factor of 7 . Reflect about the x-axis. Reflect about the origin. (f) y=6f(x)4 Shift 6 units upward. Shift 4 units upward. Shift 6 units downward. Shift 4 units downward. Shift 6 units to the right. Shift 4 units to the right. Shift 6 units to the left. Shift 4 units to the left. Stretch the graph vertically by a factor of 6 . Stretch the graph vertically by a factor of 4 . Shrink the graph vertically by a factor of 6 . Shrink the graph vertically by a factor of 4 . Stretch the graph horizontally by a factor of 6 . Stretch the graph horizontally by a factor of 4 . Shrink the graph horizontally by a factor of 6 . Shrink the graph horizontally by a factor of 4 . Reflect about the x-axis. Reflect about the origin