Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The graph of g(x) is f(x) translated to the right 7 units and up 2 units. What is the function rule for g(x) given f(x)=x2

PLEASSE HELP

Answer 1

The function rule for g(x) is (x-7)^2 + 2, obtained by applying translations to the original function f(x)=x^2.

Step-by-step explanation:

The function rule for g(x) given f(x)=x^2 (f(x) is equal to x squared) translated to the right 7 units and up 2 units can be determined by applying the translations to the original function.

To translate a function to the right, we subtract the amount of units from the x-values. So, subtracting 7 from x gives us x-7.

To translate a function up, we add the amount of units to the y-values. In this case, adding 2 to x^2 gives us x^2 + 2.

Combining both translations, the function rule for g(x) is g(x) = (x-7)^2 + 2.

Learn more about Function Translations