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Integrated Math I
26. CC.HSF.BF.B.3
26.3 Transformations of functions: Vertical translations
Transformations of functions: Vertical translations
What You'll Learn
Identify how adding or subtracting constants outside a function shifts graphs vertically
Apply the rule that y + h shifts graphs down h units while y - h shifts up h units
Recognize that vertical translations affect y-coordinates only, leaving x-coordinates unchanged
Transform original functions by moving all y-coordinates up or down by a fixed amount
What You'll Practice
1
Graphing functions after vertical shifts up and down
2
Rewriting equations to identify vertical translation direction
3
Plotting transformed points by adding or subtracting from y-coordinates
4
Verifying shifts by substituting values into translated equations
Why This Matters
Vertical translations are essential for understanding how functions transform in algebra and calculus. You'll use this skill to graph families of functions, model real-world situations where baseline values shift, and build toward more complex transformations in advanced math courses.
This Unit Includes
2 Video lessons
Skills
Function Transformations
Vertical Translations
Graphing
Coordinate Plane
y-axis Shifts
Quadratic Functions
OH Curriculum Aligned