Dalton11111
contestada

A function [tex]f(x)=\sqrt{x}[/tex] is transformed into the function [tex]g(x)=3\sqrt{x-2} +5[/tex]

Name the 3 transformations that occurred and describe the general shape of g(x). When describing the shape, you have the option of including a picture of its graph.

PLEASE HELP!!

Respuesta :

kudzordzifrancis

Answer:

vertical stretch by a factor of 3, horizontal shift of 2 units to the right, and a vertical shift 5 units up.

Step-by-step explanation:

The parent function is

[tex]f(x) = \sqrt{x} [/tex]

The transformed function is

[tex]g(x) = 3 \sqrt{x - 2} + 5[/tex]

This transformation is of the form

[tex]g(x) = a \cdot \: f(x + b) + c[/tex]

where a=3 is the vertical stretch by a factor of 3.

b=-2 is a horizontal shift to the right by 2 units.

c=5 is a vertical upward shift by 5 units.

Ver imagen kudzordzifrancis

Otras preguntas