What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?

horizontal translation of 3 units left

horizontal translation of 3 units right

vertical translation of 3 units down

vertical translation of 3 units up

Question

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?

horizontal translation of 3 units left

horizontal translation of 3 units right

vertical translation of 3 units down

vertical translation of 3 units up

jim_thompson5910 · Answer

use a tool like desmos to compare the two graphs `y = |x|` and `y = -3+|x|` https://www.desmos.com/calculator/amlz8rsgzb

newwar · Answer

ok so it is vertical translation of 3 units down

@jim_thompson5910

jim_thompson5910 · Answer

correct

newwar · Answer

thank you