Determine the equation of g(x) that results from translating the function f(x) = (x + 6)2 to the right 12 units.
g(x) = (x - 6)2
g(x) = (x + 18)2
g(x) = (x + 6)2 - 12
g(x) = (x + 6)2 + 12
((x-12)+6)^2
Your answer does not match any of the choices. Please help.
g(x) = (x - 6)2
g(x) = (x + 18)2
g(x) = (x + 6)2 - 12
g(x) = (x + 6)2 + 12
oh please. read them.
x-12+6 = x-6
put in a little effort, ok?
To determine the equation of g(x) that results from translating the function f(x) = (x + 6)^2 to the right 12 units, we need to shift the graph of f(x) to the right by 12 units.
To perform a horizontal translation, we modify the x-coordinate of each point on the graph. Since we want to move the graph to the right, we subtract 12 from each x-coordinate.
So, to determine the equation of g(x), we start with the given equation of f(x) = (x + 6)^2 and subtract 12 from the x-coordinate:
g(x) = [(x + 6) - 12]^2
Simplifying, we get:
g(x) = (x - 6)^2
Therefore, the correct equation for g(x) that results from translating f(x) = (x + 6)^2 to the right 12 units is g(x) = (x - 6)^2.
So, the first option is the correct answer: g(x) = (x - 6)^2.