If the graph of the function f(x) = x2 + 2 is translated right 5 units, what is the equation of the new function?
1 answer:
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Answer:
Choice B), .
Step-by-step explanation:
Each point on the graph of can be represented as
.
When the graph of is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example,
(same as
) will become
, and vice versa. In general,
will become
.
On the other hand, points on the graph of can be represented as
.
is the reflection of
, so
and
shall be equivalent. In other words,
.