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

Answer:

$(0,5)$

Step-by-step 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 $(0,5)$.