Question

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

which equation describes the function g?

1. g(x)=x-9
2. g(x)=-x-9
3. g(x)=-9x+9
4. g(x)=-x+9

Answer 1

4. g(x)=-x+9

Explanation:

The correct answer is actually g(x)=-x+9. Just took the text. XD

Answer 2

`g(x)=-x+9`

Solution-

The given function is,

`f(x)=x+9`

Given that g(x) is the reflection of f(x) over y-axis.

The reflection of the point (x, y) across the y-axis is the point (-x,y).

So, in case of reflection over y-axis the sign of only x-coordinate is changed and y-coordinate remains same.

So changing the sign of x in f(x) will yield its reflection over y-axis i.e g(x)

Therefore, g(x) is,

`g(x)=-x+9`