How are the graphs of f(x) = x 2 and g(x) = x 2 + 6 related?

The two functions have the same equation except for the constant term added to g(x). This means that the graph of g(x) is the same as that of f(x), but shifted upward by 6 units because the constant term affects only the y-coordinate of the graph, not the x-coordinate.

How are the graphs of f(x) = x 2 and g(x) = x 2 + 6 related?

The two functions have the same equation except for the constant term added to g(x). This means that the graph of g(x) is the same as that of f(x), but shifted upward by 6 units because the constant term affects only the y-coordinate of the graph, not the x-coordinate.

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How Are the Graphs of F(x) = X² and G(x)

Question 20

Multiple Choice

How are the graphs of f(x) = x² and g(x) = x² + 6 related?

A) The graph of g(x) is the same as that of f(x) , but translated upward by 6 units.
B) The graph of g(x) is the same as that of f(x) , but translated downward by 6 units.
C) The graph of g(x) is the same as that of f(x) , but translated 6 units to the right.
D) The graph of g(x) is the same as that of f(x) , but translated 6 units to the left.

Correct Answer: