Answered

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The graph of f(x) = x^2+ 3 is translated to produce the graph
of g(x) = (x + 2)^2+ 3. In which direction was the graph of f
translated?
left
right
up
down

Sagot :

altavistard

Answer:

the graph of f(x) is translated 2 units to the LEFT

Step-by-step explanation:

The original function, f(x) = x^2 + 3, has its vertex at (0, 3).  If we translate the graph h units to the right, this function becomes g(x) = (x - h)^2 + 3.  The x-coordinate of the vertex appears h units to the right of the original vertex.

In this case g(x) = (x + 2)^2 + 3, which tells us that h = -2.  The effect of inserting the "-2" is that the graph of f(x) is translated 2 units to the LEFT.

If, on the other hand, we went from f(x) = x^2 + 3 to g(x) = (x - 2)^2 + 3, the original graph would be translated 2 units to the right.

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