Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Compare the following functions.

How does [tex]\( f_2 \)[/tex] compare to [tex]\( f_1 \)[/tex]?

\begin{tabular}{|l|l|l|l|}
\hline
[tex]$f_1(x) = x$[/tex] & [tex]$f_2(x) = x + 4$[/tex] & [tex]$f_3(x) = x - 5$[/tex] & [tex]$f_4(x) = x - 7$[/tex] \\
\hline
\end{tabular}

A. Moved 4 units up

B. Moved 11 units down

C. Moved 7 units down

D. None of the other answers are correct

E. Moved 5 units up

Sagot :

GinnyAnswer
To determine how function [tex]\( f_2 \)[/tex] compares to [tex]\( f_1 \)[/tex], we examine their definitions:

- [tex]\( f_1(x) = x \)[/tex]
- [tex]\( f_2(x) = x + 4 \)[/tex]

Let's analyze these step by step:

1. Understand the base function [tex]\( f_1 \)[/tex]:
- [tex]\( f_1(x) = x \)[/tex] is a linear function with a slope of 1 and a y-intercept of 0.

2. Analyze the transformation applied to [tex]\( f_1 \)[/tex] to get [tex]\( f_2 \)[/tex]:
- [tex]\( f_2(x) = x + 4 \)[/tex] takes every output of [tex]\( f_1(x) = x \)[/tex] and adds 4 to it.

This transformation represents a vertical shift of [tex]\( f_1 \)[/tex]. Specifically:
- Adding 4 to the function [tex]\( f_1(x) \)[/tex] shifts it vertically upwards by 4 units.

Conclusion:
- [tex]\( f_2 \)[/tex] is the function [tex]\( f_1 \)[/tex] moved 4 units up.

Thus, the correct answer is:
- Moved 4 units up.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.