Question

how is the graph of y=-2(3)^x+4 translated from the graph of y=2(3)^x

Answer 1

It is reflected across the x-axis and the constant multiplicative rate is increased by four, downwards

Answer 2

From the graph of y=2(3)^x:
The negative sign on the coefficient means a reflection across the x-axis. The plus 4 means shifted up 4 units.