The translations are reflection across the x-axis, moved 3 units right, moved 5 units down
Step-by-step explanation:
[tex]f(x) = -(x-3)^{2} - 5[/tex]
If we reflect a function across the x- axis then y = f(x) becomes y = -f(x)
So it becomes [tex]f(x) = -x^{2}[/tex]
In the given function, there is a horizontal shift, moved 3 units right, then
it becomes, [tex]f(x) = -(x-3)^{2}[/tex]
In this given function, there is a vertical downward shift of 5 units , so it becomes, that is moved 5 units down, then the function becomes,
[tex]f(x) = -(x-3)^{2} - 5[/tex]
