Answer:
Explanation:
Horizontal Reflection: The negative sign in front of the exponent -x in g(x) reflects the graph of f(x) = 2x across the y-axis. This means that the graph is flipped horizontally.
Vertical Stretch: The coefficient 3 in front of the entire expression (2^(-x)) in g(x) stretches the graph vertically by a factor of 3. This makes the graph taller.
Vertical Translation: The constant term +2 added at the end of the expression in g(x) shifts the graph vertically upward by 2 units.
In summary, the transformation of the parent function f(x) = 2x into g(x) = 3(2^(-x)) + 2 involves a horizontal reflection, a vertical stretch, and a vertical translation.