Question

The function f(x) = xis vertically translated 1 unit up and then reflected across the y- axis. What's the new function g(x)?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = x

g (x) = ?

Step 02:

translated

1 up ===> y + 1

y = x

y + 1 = x

y = x - 1

reflected across the y- axis

(x , y) ===> (- x , y)

y = - x - 1

The answer is:

g(x) = - x - 1