Question

Toolkit Function: f\left( x \right) = \sqrt x Transformation Description: Left 1What is the equation for the transformed function?f(x) = ‾‾√+1f(x) = +1‾‾‾‾‾√f(x) = 1‾‾‾‾‾√f(x) = −1‾‾‾‾‾√

Answer 1

we know that

The parent function is

$f(x)=\sqrt{x}$

The transformation is to shift 1 unit to the left

so

The rule of this translation is given by

(x,y) -----> (x-1,y)

so

the equation for the transformed function is

$f(x)=\sqrt{x+1}$