Math  /  Algebra

QuestionHomework: Final Exam Review Question 28, Setup \& Solve-5.3.41 Part 1 of 7 HW Score: 41.54\%, 394.62 of 950 points Points: 0 of 20 Save estion list
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For the function G(x)=3+4(x2)2\mathrm{G}(\mathrm{x})=-3+\frac{4}{(x-2)^{2}}, (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (a) Which of the following transformations is required to graph the given function? A. Vertically stretch the graph of y=1x2y=\frac{1}{x^{2}} by a factor of 4 , shift it 2 units to the left, and 3 units down. B. Vertically stretch the graph of y=1x2y=\frac{1}{x^{2}} by a factor of 4 , shift it 2 units to the right, and 3 units down. C. Vertically stretch the graph of y=1x2y=\frac{1}{x^{2}} by a factor of 4 , shift it 3 units to the right, and 2 units down. D. Vertically stretch the graph of y=1x2y=\frac{1}{x^{2}} by a factor of 4 , shift it 2 units to the left, and 3 units up.

Studdy Solution
The correct transformation is **B**.
We **vertically stretch** the graph of y=1x2y = \frac{1}{x^2} by a factor of **4**, **shift it 2 units to the right**, and **3 units down**.

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