Question

Suppose f(x) = 3x + 6. Describe how the graph of g compares with the graph of f.

g(x) = f(x) +3
Select the correct choice below, and fill in the answer box to complete your choice.
OA. The graph of g(x) is translated
OB. The graph of g(x) is translated
OC. g(x) has a scale factor of
OD. g(x) has a scale factor of
O E. g(x) has a scale factor of
OF. g(x) has a scale factor of
-
unit(s) up compared to graph of f(x).
unit(s) down compared to graph of f(x).
compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
H

Answer 1

The correct transformation is:

A) The graph of g(x) is translated 3 unit(s) up compared to graph of f(x).

How is g compared to f?

For a general function f(x), we can define a vertical translation of N units as:

g(x) =f(x) + N

if N > 0, the translation is of N units up.

if N < 0, the translation is of N units down.

Here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units up, then the correct option is:

A . The graph of g(x) is translated 3 unit(s) up compared to graph of f(x).