ADM-11 · Function transformations

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ADM-11 · Advanced Math

Function transformations

Functions and exponentials · Stage 3

Recognize the pattern

Changes inside the input shift horizontally; changes outside shift vertically.

Useful rulef(x−h)+k

Build on: ADM-10

Try it before reading the solution

How does y=(x−3)²+2 compare with y=x²?

This teaching example is original and is not an official SAT question.

Reasoning

Replacing x with x−3 moves the graph right; +2 moves it up.

Answer

Shift right 3 and up 2.

Ready for adaptive practice

Practice questions remain in English, as on the SAT.

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