Describe the transformation of the parent function `y=\frac{1}{x}` to `y=\frac{3}{x+5}-3`

Question

1)
a)stretch
b)compress
c)neither
2)
a)left
b)right
c)neither
3)
a)up
b)down'
c)neither
by how much

Answer 1

1) a) stretch
2) b) right
3) b) down

The stretch factor is 3, the horizontal shift is 5 units to the left, and the vertical shift is 3 units downwards.