The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). which represents g(x)? g(x) = (x − 7)2 − 3 g(x) = (x + 7)2 − 3 g(x) = (x − 3)2 − 7 g(x) = (x − 3)2 + 7

g(x) = (x + 7)² - 3 ⇒ second answer

Step-by-step explanation:

* Lets revise some rules of transformation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ f(x) = x²

∵ f(x) is translated 7 units to the left

- Change the x to x + 7

∵ f(x) is translated 3 units down

- Change f(x) to f(x) - 3

∴ g(x) = f(x + 7) - 3

∵ f(x) = x²

- Replace x by x + 7

∴ g(x) = (x + 7)² - 3

A on edg.

Step-by-step explanation:

just took tha test

answer: finding the extract measurements and knowing the points

step-by-step explanation: