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!
f(x-12) shifts the graph right by 12 units. (Now all the x-coordinates are 12 less than they were...)
g(x) = f(x-12) = ((x-12)+10)^2 = (x-2)^2
Perfect Thank you!
Of course, I'd be happy to help you with that!
To determine the equation of the function g(x) resulting from translating the function f(x) = (x + 10)^2 to the right 12 units, we need to follow these steps:
1. Start with the original function f(x) = (x + 10)^2.
2. To shift the function to the right by 12 units, we need to subtract 12 from the x-coordinate inside the function. So, replace x with (x - 12) in the function.
3. The equation of the translated function g(x) will be: g(x) = [(x - 12) + 10]^2.
Simplifying this equation further, we get:
g(x) = (x - 2)^2.
Therefore, the equation of g(x) resulting from the translation of f(x) = (x + 10)^2 to the right 12 units is g(x) = (x - 2)^2.
I hope this explanation helps you understand how to solve this type of problem. Let me know if you have any further questions!