4.What is the equation of the function y=2/x translated 3 units to the left and 4 units up?
y=2/x+3+4
To find the equation of a function that is translated 3 units to the left and 4 units up, you need to adjust the original equation based on the given translations.
The original equation is y = 2/x.
- Translation 3 units to the left: To translate the function 3 units to the left, you need to subtract 3 from the x-coordinate. This means that instead of x, you will use (x + 3) in the equation.
- Translation 4 units up: To translate the function 4 units up, you need to add 4 to the y-coordinate. This means that instead of y, you will use (y - 4) in the equation.
Combining both translations, the adjusted equation becomes:
(y - 4) = 2/(x + 3)
So, the equation of the translated function is (y - 4) = 2/(x + 3).
to translate right by h and up by k,
y-k = f(x-h)
so plug that into your equation