Question
How does the graph of
change when
is replaced by
(1 point)
The graph is reflected over the
-axis and compresses horizontally.
The graph is reflected over the
-axis and stretches horizontally.
The graph is reflected over the
-axis and compresses vertically.
The graph is reflected over the
-axis and stretches vertically.
(1 point)
The graph is reflected over the
The graph is reflected over the
The graph is reflected over the
The graph is reflected over the
Ask by Wright Brooks. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph is reflected over the y-axis and stretches horizontally.
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Bonus Knowledge
When you replace
with
, the graph undergoes two main transformations. First, the negative sign reflects the graph over the
-axis, meaning that positive values become negative and vice versa. Then the multiplication by
compresses the graph horizontally, making it narrow since the factor is less than one.
Visualizing these transformations can be fun! Picture the original
graph like a friendly roller coaster that swings up to the right and down to the left. With the transformations applied, it flips into a mirror image over the
-axis while taking a compact, faster ride, thus creating a more pointed and steep appearance as it approaches the
-axis.