Question

Given the toolkit function f(x) = 2x, find the equation of the transformation g(x) after a shift to the right 2 and a reflection across the y-axis.Group of answer choicesg(x) = 2-x - 2g(x) = 2-(x -2)g(x) = 2-x - 2g(x) = -2x - 2

Answer 1

$g(x)=-2x-2$

1) Given that the g(x) function is the result of transforming f(x) by shifting to the right 2 units and reflecting across the y-axis, we can tell that:

2) So, let's shift to the right 2 units:

g(x)=f(x-2)

$g(x)=f(x)=2(x-2)=2x-2$

3) Now, let's reflect it across the y-axis. To do that let's multiply by -1

$g(x)=-2x-2$