Question

The grid above shows the graph of the parent function f(x) = |x| and a translated functions graph. Write the equation for the translated graph.​

Answer 1

Answer:
`g(x)=|x+2|+1`

Explanation:

These translations can be found by using the equation
`y=|x-c|+d` where
`c` is the value of translation on the x-axis and
`d` is the translation along the y-axis. Since we can see that the translated function [we'll call this g(x)] has been shifted left (negative) 2 units we can let
`c=-2`. The graph of g(x) has also been shifted up (positive) 1 unit so we can let
`d=1`. When we use these assigned values we get this equation:

`g(x)=|x-(-2)|+(1)`

By multiplying out the negatives we get:

`g(x)=|x+2|+1`