Question
What is the effect on the
-intercept in the graph of
when
is
replaced by
? (1 point)
The
-intercept shifts to the right by a distance of 5 .
The
-intercept shifts down by a distance of 5 .
The
-intercept shifts to the left by a distance of 5 .
The
-intercept shifts up by a distance of 5 .
replaced by
The
The
The
The
Ask by Reyes Reyes. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
-intercept shifts up by a distance of 5.
Solution

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Beyond the Answer
When we replace
with
, we are essentially shifting the entire graph of the function vertically. The original function
intersects the
-axis at the point
. After adding 5, the new function
will intersect the
-axis at the point
. This means the
-intercept shifts up by a distance of 5.
So, the correct answer is: The
-intercept shifts up by a distance of 5.