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33 votes
Describe the transformation of f(x) = x^2 represented by g(x) = 2(x-3)^2+4

User SBoss
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1 Answer

19 votes
19 votes

Answer:

Explanation:

The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.

The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.

The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.

User Roxie
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