We have the function f(x) with the following equation
[tex]f(x)=-\frac{1}{2}x^2[/tex]
We are asked to find the equation of k(x) which is the same function f(x) but translated
First, we will identify how many units the function has moved horizontally 2 units to the right and 4 units down
Second, Let's remember the function translation rules necessary to get this result
y = f(x) -c It will be grated vertically "c" units down.
y = f(x-c) It moves horizontally "c" units to the right.
So the equation of k(x) is as follows:
[tex]k(x)=-\frac{1}{2}(x-2)^2-4[/tex]
