If you can please help, I would greatly appreciate it!
Determine the equation of g(x) that results from translating the function f(x) = (x + 10)2 to the right 12 units.
Thank you!
I bet you mean:
f(x) = (x+10)^2
new equation:
g(x) = (x+10 - 12)^2
= (x-2)^2
Awesome. Thank you so much!
To determine the equation of g(x) resulting from translating the function f(x) = (x + 10)^2 to the right 12 units, you need to move each x value in f(x) to the right by 12 units.
The first step is to subtract 12 from the x in f(x). So, the equation becomes f(x - 12) = ((x - 12) + 10)^2.
Next, simplify the equation:
f(x - 12) = (x - 2)^2.
Finally, the equation of g(x) is g(x) = (x - 2)^2, which is the translated form of f(x) = (x + 10)^2 after moving it to the right 12 units.