Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.
Find and correct a transformation notation error
Problem
The intended transformation shifts \(f\) right \(3~\text{units}\), but the proposed rule is \(g(x)~=~f(x~+~3)\). Determine the proposed effect, diagnose the error, and write the corrected rule.
Big Picture
What this problem is really about
Before correcting the proposal, determine what it actually does. An input change moves features horizontally, and solving when the altered input equals an original landmark exposes the true direction without relying on a memorized slogan. Comparing that movement with the stated intention will isolate the notation error and indicate the needed repair.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
