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Represent and apply transformations with matrices

DIFFICULTYintrostandardchallengeexam
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Apply a single x-coordinate dilation to a pointApply a single y-coordinate dilation to a curveNOWMix of allRecommended
Question 1 of 8

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The reference function is \(f(x)=x^3\)

The affine transformation is applied in this order: reflection in the y-axis

Write the image rule in the form \(g(x)=Af(Bx+C)+D\)

Find the transformed rule in the form shown, then give the coefficient values

(a)1 mark

Find the transformed rule in the form shown, then give the coefficient values

\[g(x)=Af(Bx+C)+D\]
(b)4 marks

Enter the four coefficients in \(g(x)=Af(Bx+C)+D\)

Use the coefficients obtained directly from the coordinate map: A=sᵧ, B=1/sₓ, C=−tₓ/sₓ and D=tᵧ. Keep this representation rather than simplifying inside f