Question

if the function g(x) goes through the point (2,5) then the function g(x+2) must go through what point? ​

Answer 1

`(0,5)`

Explanation:

Given:

The function
`g(x)` passes through the point
`(2,5)`.

For function
`g(x)` to transform to
`g(x+2)`, the graph has to translate 2 units to left.

Therefore, the point
`(2,5)` will have to move 2 units to left.

Moving 2 units left means the
`x` value of the point has to reduce by 2 units.

The
`x` value of the point
`(2,5)` is 2.

So, new
`x` value after translation will be
`2-2=0`.

Therefore, the graph of
`g(x+2)` must pass through
`(0,5)`.