Question

Select the correct answer.

Consider the function f(x) = 2 and function g.
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function f?
O A.
OB.
O C.
O D.
The graph of function g is the graph of function f shifted 6 units up.
The graph of function g is the graph of function f shifted 6 units to the right.
The graph of function g is the graph of function f shifted 6 units to the left.
The graph of function g is the graph of function f shifted 6 units down.

Answer 1

A. The graph of function g is the graph of function f shifted 6 units up.

Explanation:

You want to know how the graph of g(x) = f(x) +6 differs from the graph of f(x).

Translation

Adding 6 to the function value will cause the y-coordinate of the point on the graph to be increased by 6. When the y-coordinate is increased, the point moves up.

The graph of g(x) = f(x) +6 is the graph of function f shifted 6 units up, choice A.

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