Field Guide/Functions/Transformations & inverses
Core3 min

Explore transformations, inverses and composites

You want to compare related functions or check inverse/composite behavior numerically.

01

Press these keys

Y=VARSY-VARSGRAPH

Step 1 of 4. Press Y=.

02

Walkthrough

  1. 1
    Store the base function

    Enter f in Y1.

  2. 2
    Build related rules

    Use VARS → Y-VARS → Function → Y1 inside Y2, for example Y1(X−2)+3.

  3. 3
    Compare

    Graph together; for an inverse also graph y=x and verify reflected points.

03

Worked example

Compare f(x)=x² and g(x)=(x−2)²+3.

AnswerThe graph shifts 2 right and 3 up.