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Alinara [238K]
3 years ago
8

A function

}" align="absmiddle" class="latex-formula"> is transformed into the function g(x)=3\sqrt{x-2} +5
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!!

Mathematics
1 answer:
elena55 [62]3 years ago
3 0

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

f(x) =  \sqrt{x}

The transformed function is

g(x) = 3 \sqrt{x - 2}  + 5

This transformation is of the form

g(x) = a \cdot \: f(x  + b) + c

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.

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