Transformations of the Function f(x) = 2√(x

Math Problem Statement

Describe the transformations of the function f(x) = 2√(x - 9).

To describe the transformations of the function $f(x) = 2\sqrt{x-9}$ , consider the following:

Horizontal Shift: The expression $\sqrt{x-9}$ indicates a shift to the right by 9 units.
Vertical Stretch: The coefficient 2 outside the square root indicates a vertical stretch by a factor of 2.

These transformations modify the parent function $\sqrt{x}$ .

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Functions
Transformations
Square Root Functions

f(x) = 2√(x - 9)

Transformation of functions

Grades 9-11

Function Transformations of f(x) = √x to g(x) = 2√(x + 4) - 7

Transforming the Square Root Function: Shifting Up and Left

Function Transformations: Shifting Radical Functions

Square Root Function Transformations: f(x) = sqrt(x - 2) - 4

Graph Transformations of Square Root Functions: h(x) = -√(x + 9)