Question

The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.

Which equation describes g(x)?

g(x)=−|x+2|

g(x)=2|x|

g(x)=|x+2|

g(x)=−2|x|

Answer 1

To reflect across the x axis, you would make the original equation negative.

The answer would be: g(x)=−2|x|

Answer 2

Answer:
`g(x)=-2|x|`

Explanation:

When a function
`y=f(x)` is reflected over x-axis then it actually flip itself around x-axis and gives a mirror image of the original function.

The new function will be
`y=-f(x)`

Given : The graph of g(x) is obtained by reflecting the graph of
`f(x)=2|x|` over the x-axis.

Then , g(x) should be

`g(x)=-f(x)=-(2|x|)=-2|x|`

Therefore, the equation describes g(x) would be

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