Question

Applied to the graph of y= 1/x

Stretched vertically about the x-axis by a
factor of 3
Reflected in the x-axis
Translated 4 units right and 2 units down

Answer 1

y = -3/(x-4) - 2

Explanation:

3*y(x) vertically stretches y by a factor 3

-y(x) reflects y over x-axis

y(x-4) translates y 4 units to the right

y(x) - 2 translates y 2 units down

Applied the transformations we get:

y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2