Questions: The right side of a tower has a shape that can be approximated by the graph of the function defined by f(x)=-301 ln(x/207). Answer parts (a) through (c). (a) Explain why the shape of the left side of the tower has the formula given by f(-x). A. The left side is a reflection of the right side with respect to the axis of the tower. The graph of f(-x) is the reflection of f(x) with respect to the x-axis B. The left side is a reflection of the right side with respect to the axis of the tower. The graph of f(-x) is the reflection of f(x) with respect to the y-axis.

The right side of a tower has a shape that can be approximated by the graph of the function defined by f(x)=-301 ln(x/207). Answer parts (a) through (c). (a) Explain why the shape of the left side of the tower has the formula given by f(-x). A. The left side is a reflection of the right side with respect to the axis of the tower. The graph of f(-x) is the reflection of f(x) with respect to the x-axis B. The left side is a reflection of the right side with respect to the axis of the tower. The graph of f(-x) is the reflection of f(x) with respect to the y-axis.
Transcript text: The right side of a tower has a shape that can be approximated by the graph of the function defined by $f(x)=-301 \ln \frac{x}{207}$. Answer parts (a) through (c). (a) Explain why the shape of the left side of the tower has the formula given by $f(-x)$. A. The left side is a reflection of the right side with respect to the axis of the tower. The graph of $f(-x)$ is the reflection of $f(x)$ with respect to the $x$-axis B. The left side is a reflection of the right side with respect to the axis of the tower. The graph of $f(-x)$ is the reflection of $f(x)$ with respect to the $y$-axis.
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Solution

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Solution Steps

Step 1: Analyzing the reflection

The tower is symmetrical with respect to the y-axis. The left side is a reflection of the right side across the y-axis.

Step 2: Reflection across y-axis

A reflection across the y-axis is represented mathematically by replacing x with -x in the function.

Final Answer:

The correct answer is B. The left side of the tower is a reflection of the right side with respect to the axis of the tower (the y-axis). The graph of f(-x) is the reflection of f(x) with respect to the y-axis.

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