Question

The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis.

Answer 1

Answer:

g(x) = -x +9

Step-by-step explanation:

Reflecting across the y-axis involves changing the sign of x, so the reflection of f(x) is ...

... g(x) = f(-x) = (-x) +9

The appropriate choice is ...

... g(x) = -x+9

Answer 2

Answer:

The equation which describes the function g is:

               $g(x)=-x+9$

Step-by-step explanation:

The graph of the function f(x) is given by:

                 $f(x)=x+9$

Now, we know that the transformation of the function f(x) when the graph is shifted across the y-axis then it is given by:

                 f(x) → f(-x)

This means that:

 g(x)=f(-x)

i.e.

g(x)= -x+9

Hence, the equation which will represent the graph of the function g(x) is given by:

                    $g(x)=-x+9$