Stage 21 · Linear Functions

21.3.4 Shifting and Reflecting the Graph

21.3 Reading the Behavior of a Linear Function

Point 4 of 5

21.3.4 Shifting and Reflecting the Graph

Core idea

Sliding the whole line up or down only changes b, while flipping it like a mirror image changes the signs of k and b — the rules of shifting and reflection.

Module goal. Systematically describe how the signs of k and b decide a line's direction, whether it rises or falls, and which quadrants it visits — upgrading you from "able to draw" to "able to read."
eastmath.com · 21.3 Reading the Behavior of a Linear Function · 21.3.4 Shifting and Reflecting the Graph