Question
4 of 5 Analyze the graphs and describe the shift that occurs from \( g(x)=5 \sqrt{x+3}-4 \) to \( g(x)=5 \sqrt{x+7}-4 \). For the first response, enter 1 for left and 2 for right. (1 point) The transformation is a shift \( \square \) by \( \square \) units. Check answer Remaining Attempts : 3
Ask by Osborne Best. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The graph shifts 4 units to the left.
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock
Reviewed and approved by the UpStudy tutoring team
Like
The Deep Dive
The transformation is a shift 1 by 4 units. In this case, the function \( g(x)=5 \sqrt{x+7}-4 \) is derived from \( g(x)=5 \sqrt{x+3}-4 \) by shifting it to the left. The change from \( +3 \) to \( +7 \) translates the graph 4 units to the left on the x-axis, giving it a new position while maintaining its shape!