Question

Which two transformations can be used to obtain the graph of G(x) = -4√x , from the graph of F(x)=√x?

Answer 1

Given: The base function

`F(x)=√(x)`

To Determine: The transformation that would give the function G(x)

`G(x)=-4√(x)`

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