#1**+2 **

Note that g(x) = - 2 / (-x - 3) +5 can be written as g(x) = - 2 / - (x + 3) + 5 =

2 / (x + 3) + 5

The (x + 3) part shifts the graph of 1/x to the left by 3 units

The "2" vertically stetches the parent graph by a factor of 2

Additionally, the "+5" shifts the parent graph up 5 units

So putting all these together......the parent function is shited to the left by 3 untis, up by 5 units and vertically stretched by 2 units

See the graphs of 1/x , 2/x , 2/ (x + 3) and 2 /( x + 3) + 5 here :

https://www.desmos.com/calculator/sxufnzobpv

CPhill
May 6, 2017