Question

The graph of

g(x) is obtained by reflecting the graph of
g(x)₂
Which equation describes
O
g(x) = − |x + 2|
g(x) = -2 |x|
g(x) = x + 2|
og(x) = 2 |x|
f(x) = 2 |x|
over the x-axis.

Answer 1

If the original function is f(x) = |x + 2|, the equation of the reflection is g(x)= -|x + 2|

Which equation describes the reflection?

For a general function f(x), a reflection over the x-axis is defined as follows:

g(x) = -f(x)

If the original function here is f(x) = |x + 2|, then to reflect it over the x-axis we justt need to multiply it by minus one, then the equation of the reflected function will be:

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

Complete question:

"The graph of g(x) is obtained by reflecting the graph of |x + 2| 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|

f(x) = 2 |x|"