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Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

2 Answers

0 votes
The correct answer would be A) Left 3, Up 4.
User Instaable
by
8.0k points
5 votes

we have


f(x)=x^(2)

This a vertical parabola open upward with a vertex at point
(0,0)

and


g(x)=(x+3)^(2)+4

This a vertical parabola open upward with a vertex at point
(-3,4)

The rule of the transformation is


f(x)---------> g(x)


(x,y)-----> (x-3,y+4)

that means

Is a translation of
3 units to the left and
4 units up

therefore

the answer is

A translation of
3 units to the left and
4 units up



User Nuss
by
7.8k points

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