Question

On the coordinate grid, the graph of y = 3(√(-x-1)) is shown. It is a reflection and translation of y = 3(√(x)).

A. True
B. False

Answer 1

The given statement is False. The graph of y = 3(√(-x-1)) is not a reflection and translation of y = 3(√(x)).

Step-by-step explanation:

The graph of y = 3(√(-x-1)) is not a reflection and translation of y = 3(√(x)). A reflection would occur if the negative sign was placed outside of the square root function which would reflect the graph across the x-axis. However, in this case, the negative sign is inside the square root function causing the graph to be shifted to the right by 1 unit and then reflected across the y-axis.