Millennium Mathematics Project



Surprising Transformations

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

[pic]

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.

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?

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Translate down by

three units

Reflect in the

vertical ؀ࠁࠛࠜࠝ࠮࠯࠱࠲࠴ࡵࡸࡹ࢐࢑࢒࢓࢔࢕ଞଠତଦନପମର଴ଶ଺଼ୀ췚췀���겸겤莒���牶橮啝啑啑啑Qᘆ٨ᰀ̏jᘀ٨ᰀ唀Ĉᔘ쭨쉱ᘀ쭨쉱䌀⡊帀Ɋ愀⡊ᘆ홨⥟ᘆ쭨쉱ᘆ筨ﵖᔘ筨ﵖᘀ筨ﵖ䌀᱊帀Ɋ愀᱊̝jᔀ筨ﵖᘀ筨ﵖ䌀᱊唀Ĉ䩡̢jᘀ筨ﵖ䌀᱊唀Ĉ䩡䡭Ѐ䡮Ѐࡵ[pic]ᘎ筨ﵖ䌀᱊愀᱊̗jᘀ筨ﵖ䌀᱊唀Ĉ䩡ᘎ繨됉䌀᱊愀᱊ᔘ繨됉ᘀ繨됉　᥊䌀axis

Reflect in the

horizontal axis

Translate left by

two units

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