Question

If the parent function is y=1/x, describe the change in the equation y= -1/x-5 -10

Answer 1

reflection across the x-axis, a shift to the right by 5 units, and a downward shift by 10 units

Explanation:

The parent function is

`y = (1)/(x)`

The parent function change to

`y = - (1)/(x - 5) - 10`

The transformation is of the form

`y = - f(x - k) + c`

There is a reflection across the x-axis because there is -f(x)

k=5 is a shift to the right by 5 units

c=-10 is a downward shift by 10 units