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

Answer:

$g(x)=-x-5$

Step-by-step 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

$g(x)=-x-5$