Answer:
For f(x) = 4x + 5, g(x) = -4x + 7:
The transformation of g(x) from f(x) is a reflection across the y-axis and a shift upward by 2 units.
For f(x) = 3x - 2, g(x) = 3(x + 2) - 2:
The transformation of g(x) from f(x) is a rotation counterclockwise by 90 degrees and a reflection across the y-axis.
For f(x) = 2/x + 16, g(x) = ⅔(x - 3) - 16:
The transformation of g(x) from f(x) is a shift to the left by 2 units, a reflection across the y-axis, and a shift downward by 32 units.
For f(x) = 14x + 1, g(x) = 14(x + 2) + 3:
The transformation of g(x) from f(x) is a shift to the right by 3 units and a shift downward by 2 units.
For f(x) = 8(x + 2) - 3, g(x) = 8(x + 2) + 6:
The transformation of g(x) from f(x) is a shift upward by 6 units.
For f(x) = 3(x - 1) + 2/3, g(x) = -3(x - 1) - 2/3:
The transformation of g(x) from f(x) is a reflection across the y-axis.
For f(x) = -½(x + 2) - 4, g(x) = ½(-x - 2) + 6:
The transformation of g(x) from f(x) is a reflection across the y-axis and a shift upward by 10 units.
Explanation: