Question

What affect does "h" have on the parent function y = 1/x ?

h < 0 moves the graph to the left, h > 0 moves the graph to the right.

Vertical stretch by a factor of |h|

h > 0 moves the graph up, h < 0 moves the graph down.

h > 0 reflects the graph across the y-axis.

Answer 1

If h moves the graph left or right,
`y= (1)/(x+h)` (moves left)

`y= (1)/(x-h)` (moves right)

If a vertical stretch by a factor of |h|, then
`y = (h)/(x)`

If h moves the graph up or down,
`y= (1)/(x) +h` (moves up)

`y= (1)/(x) -h` (moves down)


`y= (1)/(-hx)` and h = 1