Problem E110 This is a college algebra problem PLEASE EXPLAI

Problem E1_10. This is a college algebra problem. PLEASE EXPLAIN HOW YOU ARRIVED AT THE ANSWER

Which equation gives this graph? Y=|x+2|-1 Y=-|x-2|-1 y=|x-2|+1 y=-|x+2|+1 y=|x-2|-1

Solution

we know that y=|x| looks in V shapen and passes through origin

we see it is shifted 2 units right so we change |x| to |x-2|

we again see it is shifted 1 unit down so subtract 1

hence we get y=|x-2|-1

so final answer is y=|x-2|-1