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November 7, 2020
at 6:57 pm

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Destiny Madaje

NRICH: Surprising Transformations

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NRICH: Surprising Transformations

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

This problem follows on from Translating Lines and Reflecting Lines.

I took the graph y=4x+7 and performed the four transformations shown on the cards below.

Transformation cards

Unfortunately, I can’t remember the order in which I carried out the four transformations, but I know that I ended up with the graph of y=4x−2.

Can you find an order in which I could have carried out the transformations?

There is more than one way of doing this – can you find them all?

Can you explain why different orders can lead to the same outcome?

What other lines could I have ended up with if I had performed the four transformations in a different order?

Age 14 to 16

NRICH (University of Cambridge)

Math Topics

Algebra & Pre-Algebra, Functions & Graphs, Linear Equations

High School, Educator

9th Grade, 10th Grade, 11th Grade

Lines, Math Puzzles, Transformations

RELATED LISTINGS

NRICH

NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/

NRICH: Topics in Secondary Mathematics

NRICH (University of Cambridge)

Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196

NRICH: Translating Lines

NRICH (University of Cambridge)

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

https://nrich.maths.org/6539

NRICH: Reflecting Lines

NRICH (University of Cambridge)

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

https://nrich.maths.org/6471

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NRICH (University of Cambridge)

Website URL

https://nrich.maths.org/6544

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Math - Algebra
Math

Resource k12

K-12 Categories

Advanced Search

Submit a Resource

NRICH: Surprising Transformations

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

This problem follows on from Translating Lines and Reflecting Lines.

I took the graph y=4x+7 and performed the four transformations shown on the cards below.

Transformation cards

Unfortunately, I can’t remember the order in which I carried out the four transformations, but I know that I ended up with the graph of y=4x−2.

Can you find an order in which I could have carried out the transformations?

There is more than one way of doing this – can you find them all?

Can you explain why different orders can lead to the same outcome?

What other lines could I have ended up with if I had performed the four transformations in a different order?

Age 14 to 16

NRICH (University of Cambridge)

Math Topics

Algebra & Pre-Algebra, Functions & Graphs, Linear Equations

High School, Educator

9th Grade, 10th Grade, 11th Grade

Lines, Math Puzzles, Transformations

RELATED LISTINGS

NRICH

NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/

NRICH: Topics in Secondary Mathematics

NRICH (University of Cambridge)

Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196

NRICH: Translating Lines

NRICH (University of Cambridge)

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

https://nrich.maths.org/6539

NRICH: Reflecting Lines

NRICH (University of Cambridge)

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

https://nrich.maths.org/6471