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
left 2, down 3
right 2, down 3
left 2, up 3

The vertex of the graph of the function g(x) = (x - 2)^2 + 3 is 2 units to the right and 3 units up of the vertex of the graph of the function f(x) = x^2.

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mvelazcoa mvelazcoa · Answer 2 · 2019-11-26T02:32:02+01:00

mvelazcoa mvelazcoa

26-11-2019

Answer:

right 2, up 3

Step-by-step explanation:

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

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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 left 2, down 3 right 2, down 3 left 2, up 3

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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
left 2, down 3
right 2, down 3
left 2, up 3