Question

g(x) when f(x)= /x/ +3 translated horizontally 6 units to the left and reflected across the y axis

Answer 1

The horizontal translation produces |x+6|+3 moving the vertex from (0,3) to (-6,3). The y intercept is 9. (It was 3 for f(x).)

The reflection in the y axis translates the vertex to (6,3), which is a shift of 12 to the right. The y intercept remains at 9.

The equation is g(x)=|x-6|+3.