Question

given below is the graph of the cube root parent function, $y = \sqrt3{x}$.where would the point (-1,-1) be located under the transformation $f(x - 3) - 4$?type your answer as a ordered pair (x,y) with no spaces.

Explanation:

Step1: Apply horizontal shift

For $f(x-3)$, add 3 to the x-coordinate:
$-1 + 3 = 2$

Step2: Apply vertical shift

For $f(x-3)-4$, subtract 4 from the y-coordinate:
$-1 - 4 = -5$

Step3: Combine coordinates

The transformed point is $(2, -5)$

Answer:

(2,-5)