Question

Create the transformed function g(x) from the basic absolute value function (x)=|x| by shifting right 1 unit and vertically reflecting. Basic Function f(x) Transforming Function History (Select a row to review ) Basic Function f(x)=|x| Reflect: Vertical. Set the sign of A:y=-|x|

Answer 1

To create the transformed function g(x) from the basic absolute value function f(x) = |x|, we shift it right by 1 unit and vertically reflect it.

Step-by-step explanation:

To create the transformed function g(x) from the basic absolute value function f(x) = |x|, we need to shift it right by 1 unit and vertically reflect it. Shifting the function right by 1 unit means replacing x with (x - 1) in the formula. Vertically reflecting the function means negating the entire function, so we need to multiply it by -1.

So, the transformed function g(x) = -|x - 1|.