Question

The graph above is a transformation of the function f(x)=|x|

Write an equation for the function graphed above.

Answer 1

I think that the equation would be = |X - 2|

Explanation:

Hope it was helpful :)

Answer 2

The equation for the function graphed above is
`g(x) = |x-2| + 1`.

The expression of
`g(x)` is the consequence of translating both horizontally and vertically regarding
`f(x)`, which it can be defined by following expression:

`g(x) = f(x - h) + k` (1)

• 
  `f(x)` - Original function.
• 
  `g(x)` - Resulting function.
• 
  `(h,k)` - Coordinates of the "center" of the resulting function.

If we know that
`(h,k) = (2, 1)` and
`f(x) = |x|`, then the resulting function is:

`g(x) = |x-2| + 1`

The equation for the function graphed above is
`g(x) = |x-2| + 1`.