Which transformations have been performed on the graph of f(x)=x√3 to obtain the graph of g(x) =−2x√3−1?
Select each correct answer.
compress the graph closer to the x-axis
translate the graph to the left
stretch the graph away from the x-axis
translate the graph to the right
translate the graph down
reflect the graph over the x-axis
translate the graph up
We can identify features of \(g(x)=-2x\sqrt{3}-1\) by looking at the function and interpreting the effects.
The "-1" translates the graph downward one unit.
The "2" stretches the graph away from the x-axis by a factor of 2.
The "-2" indicates that a reflection occurred over the y-axis (although this option is non-existent in the answer choices).