Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To transform the reciprocal parent function [tex]\( F(x) = \frac{1}{x} \)[/tex] according to the given shifts, we need to perform the following steps:
1. Shift 2 units left:
- Shifting the function to the left means adjusting the variable [tex]\(x\)[/tex] within the function. Specifically, to shift the function 2 units to the left, we replace [tex]\(x\)[/tex] with [tex]\((x + 2)\)[/tex].
Therefore, the function becomes:
[tex]\[ F(x + 2) = \frac{1}{x + 2} \][/tex]
2. Shift 9 units up:
- Shifting the function up means adding a constant to the entire function. To shift the function up by 9 units, we simply add 9 to our already shifted function.
Thus, the new function becomes:
[tex]\[ G(x) = \frac{1}{x + 2} + 9 \][/tex]
Given these steps, the correct equation for the new function is [tex]\( G(x) = \frac{1}{x + 2} + 9 \)[/tex].
Therefore, the correct answer is:
C. [tex]\( G(x) = \frac{1}{x + 2} + 9 \)[/tex]
1. Shift 2 units left:
- Shifting the function to the left means adjusting the variable [tex]\(x\)[/tex] within the function. Specifically, to shift the function 2 units to the left, we replace [tex]\(x\)[/tex] with [tex]\((x + 2)\)[/tex].
Therefore, the function becomes:
[tex]\[ F(x + 2) = \frac{1}{x + 2} \][/tex]
2. Shift 9 units up:
- Shifting the function up means adding a constant to the entire function. To shift the function up by 9 units, we simply add 9 to our already shifted function.
Thus, the new function becomes:
[tex]\[ G(x) = \frac{1}{x + 2} + 9 \][/tex]
Given these steps, the correct equation for the new function is [tex]\( G(x) = \frac{1}{x + 2} + 9 \)[/tex].
Therefore, the correct answer is:
C. [tex]\( G(x) = \frac{1}{x + 2} + 9 \)[/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.