Question

write an equation, g(x), for the transformations of the parent function, f(x) =x , when it is reflected across the y-axis and translated down 5 units

Answer 1

`g(x)=-x-5`

Explanation:

if we reflect across the y-axis, the y-value is just being negated, or in other words from positive -> negative or negative -> positive depending on what the initial y-value was.

So if we have the function
`f(x)=x`, then we just negate the x, since the x represents the y-value.

This gives us:
`g(x)=-x`

Now to translate 5 units down, the y-value is decreasing by 5 units, and since the -x represents the y-value, we just subtract 5 from it to get

`g(x)=-x-5`