Question

F(x) g(x) =x 2 =(x-2)2 -we can think of [g ] as a translated (shifted) version of [f ]. complete the description of the transformation. use nonnegative numbers. to get the function [g ], shift [f ] by 1 units and to the by 4 units.

Answer 1

To get the function g(x), we can shift the function f(x) by 1 unit to the right and by 4 units up.

Step-by-step explanation:

To get the function g(x), we can shift the function f(x) by 1 unit to the right and by 4 units up.

Starting with f(x) = x^2, we can apply the given shifts:

Right shift: f(x - 1) = (x - 1)^2

Up shift: f(x - 1) + 4 = (x - 1)^2 + 4

So, the function g(x) = (x - 1)^2 + 4