Question

What is the equation of this function after it is reflected over the x-axis?

Answer 1

Below

Explanation:

Multiplying the equation by -1 will flip it around the x - axis

so 3(x-2)^3

Answer 2

The equation of this function after it is reflected over the x-axis is option D.
`$f(x)=3(x+2)^3$`.

The image shows a function
`$f(x)=-3(x+2)^3$` and asks for the equation of the function after it is reflected over the
`$x$`-axis.

To reflect a function over the
`$x$`-axis, you multiply the output (y-value) of the function by -1 . If the original function is
`$f(x)$`, after reflection over the
`$\mathrm{x}$`-axis it will be
`$-f(x)$`.

Given the function
`$f(x)=-3(x+2)^3$`, we will apply this transformation:

The reflected function is
`$-\left(-3(x+2)^3\right)=3(x+2)^3$`.

So, the correct answer is:

`$$f(x)=3(x+2)^3$$`

Among the given options, the correct one is:

D.
`$f(x)=3(x+2)^3$`