215k views
4 votes
identify the parent function and transformations from Question 9c. y=sqrt((1)/(3)x+3)-4 Parent function: The function is

User SoBeRich
by
7.7k points

1 Answer

3 votes

Final answer:

The parent function is f(x) = sqrt(x), representing the basic square root function. The transformations include a horizontal compression by a factor of 3, a horizontal shift left by 3 units, and a vertical shift downward by 4 units.

Step-by-step explanation:

The question asks us to identify the parent function and transformations applied to the given function: y = sqrt((1/3)x + 3) - 4.

Parent Function

The parent function is f(x) = sqrt(x), which represents the basic form of the square root function without any transformations.

Transformations

The transformations applied to the parent function are as follows:

Horizontal compression by a factor of 3, which can be seen from the coefficient 1/3 inside the square root.

Horizontal translation to the left by 3 units, which is deduced from the positive addition of 3 inside the square root.

Vertical translation downward by 4 units, which is indicated by the subtraction of 4 at the end of the function.

This function exhibits multiple transformations indicating that there is a horizontal stretch or compression accompanied by translations both horizontally and vertically.

User Pablo Cegarra
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.