Question

Which best describes the transformation that occurs from
the graph of f(x) = x2 to g(x) = (x - 2)2 + 3?
right 2, up 3
O left 2, down 3
Oright 2, down 3
O left 2, up 3

Answer 1

Answer:

right 2 , up 3.

Step-by-step explanation:

The -2 moves 2 to the right and the + 3 means 3 up.

Answer 2

The function from x^2 to (x-2)^2 + 3 shows a horizontal shift by 2 units to the right and a vertical shift by 3 units up.

Transformation of coordinates

The translation is a transformation technique used to change the position of an image on the xy-plane.

Given the parent function

f(x) = x^2

In order to determine the transformation rule to get g(x) = (x - 2)^2 + 3

The function shows a horizontal shift by 2 units to the right and a vertical shift by 3 units up.

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