Describe the Transformation Required to Obtain the Graph of the Given

question 450

Multiple Choice

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
- $$y = - \tan \frac { 1 } { 9 } x + 7$$

• A) Reflection across the \(x\)-axis, horizontal shrink by a factor of \(\frac { 1 } { 9 }\), and vertical translation down 7 units.
• B) Horizontal stretch by a factor of 9 and a vertical translation up 7 units.
• C) Reflection across the \(x\)-axis, horizontal translation to the right 9 units, and vertical translation up 7 units.
• D) Reflection across the x-axis, horizontal stretch by a factor of 9 , and vertical translation up 7 units.

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Definitions:

Sample Statistic

A measure derived from a sample portion of a population, typically used to estimate the characteristics of the entire population.

Population Parameter

A population parameter is a numerical value that represents a characteristic of an entire population, such as its mean or standard deviation.

Point Estimate

A statistical measure that provides the best single value estimate of a population parameter.

Mean Amount

The average value of a set of numbers, calculated by adding all the values and dividing by the count of numbers.