Select the correct number or word that correctly completes t

Select the correct number or word that correctly completes the sentence. Given g(x)=4f(x+3)2, g(x) has been transformed from f(x) by shifting to the (left,right) by (2,4,3) units, reflecting over the (x axis, y axix) , with vertical scale factor of (4,3,2) , and shifting (up, down) by (4,3,2) units.

Solution

g(x)=-4f(x+3) - 2

because of +3,it moves towards left direction by 3 units

And because of -2,it moves 2 units downwards on y axis. And there is a - sign too ,which reflects it along x axis.

Therefore the correct sentence is g(x)=-4(x+3)^2 - 2, g(x) has been transformed from f(x) by shifting to the left by 3 units, reflecting over the x axis with vertical scale factor of 4 and shifting down by 2 units.