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, $y= \frac{1}{x+h}$ (moves left)
$y= \frac{1}{x-h}$ (moves right)

If a vertical stretch by a factor of |h|, then $y = \frac{h}{x}$

If h moves the graph up or down, $y= \frac{1}{x} +h$ (moves up)
$y= \frac{1}{x} -h$ (moves down)

$y= \frac{1}{-hx}$ and h = 1