Given: The base function
[tex]F(x)=\sqrt{x}[/tex]
To Determine: The transformation that would give the function G(x)
[tex]G(x)=-4\sqrt{x}[/tex]
Solution
Let us plot the graph of the base function and the new function as shown below
It can be observed that there exist a reflection across the x-axis, also a vertical stetch by a factor of 4
Hence, the correct answer is a vertical stretch by a factor of 4, followed by a reflection across the x-axis, OPTION A
