Question
How does the graph of
change when
is replaced by
(1 point)
The graph is reflected across the
-axis and has been stretched horizontally.
The graph is reflected across the
-axis and has been compressed vertically.
The graph is reflected across the
-axis and has been stretched vertically.
The graph is reflected across the
-axis and has been compressed horizontally.
(1 point)
The graph is reflected across the
The graph is reflected across the
The graph is reflected across the
The graph is reflected across the
Ask by Reid Harper. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph is reflected across the
-axis and stretched vertically.
Solution
When you replace
with
:
- Reflection across the
-axis: The negative sign (-7) reflects the graph across the -axis. - Vertical Stretch: The factor of 7 stretches the graph vertically by a factor of 7.
So, the correct transformation is:
The graph is reflected across the
-axis and has been stretched vertically.
Answer:
The graph is reflected across the -axis and has been stretched vertically.
The graph is reflected across the
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
When you replace
with
, you are essentially multiplying the original function by -7. This means the entire graph of
is reflected across the
-axis, which flips all the positive
-values to negative. Additionally, multiplying by 7 stretches the graph vertically by a factor of 7, making it taller!
So, in simpler terms, the graph takes a fun dive downwards (thanks to the reflection) and becomes much taller (due to the vertical stretch). It’s a wild ride for our cube root!🥳