Pregunta
Use transformations to explain how the graph of
Which of the following explains the transformations to find the graph of
Shifting of
Shifting of
Shifting of
Shits and horizontal shrinking of the resulting graph by a factor of
Which of the following explains the transformations to find the graph of
Shifting of
Shifting of
Shifting of
Shits and horizontal shrinking of the resulting graph by a factor of
Ask by Sherman Alexander. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The graph of
Solución
-
Start with the parent function
. -
The expression
indicates a horizontal shift. Since is replaced by , the graph shifts to the left by 4 units (not to the right). -
The multiplication by
outside the squared term affects the vertical direction. Multiplying by a factor less than 1 causes a vertical shrink (compression), not a stretch.
Thus, the correct description is:
- Shifting of
to the left 4 units and vertical shrinking of the resulting graph by a factor of .
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Simplifique esta solución Extra Insights
First, let’s break down the function
Next, let’s clarify the common mix-up: many students think shifting and stretching are the same across all dimensions. Remember, shifting directly refers to moves along the axes while stretching or shrinking affects the shape of the graph itself. So, make sure to track those transformations step by step!
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