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when curve is quadratic, rewrite in vertex form (completing-the-square form), then it is easier to see what transformations are required.

note that for this type of question, there can be other possible answers, depending on how you write the transformed equation.

the transformed equation can also be written as ...

y = 4x^2-4x+5

= 4(x-1/2)^2+4

= 4[(x-1/2)^2+1]

= (2x-1)^2+4

these will require different combination of transformations but the result of the combined transformations will be the same.

note that for this type of question, there can be other possible answers, depending on how you write the transformed equation.

the transformed equation can also be written as ...

y = 4x^2-4x+5

= 4(x-1/2)^2+4

= 4[(x-1/2)^2+1]

= (2x-1)^2+4

these will require different combination of transformations but the result of the combined transformations will be the same.

Date Posted:
3 months ago

transformation of functions is in H2 maths.

current H1 maths syllabus does not include this topic.