Create a function that could represent the following transformation of y=x². Vertical reflection over the x-axis, vertical translation up by 2 and a horizontal translation left by 5.

Question

Miguel Escobar

Mathematics

31 August, 10:27

Create a function that could represent the following transformation of y=x². Vertical reflection over the x-axis, vertical translation up by 2 and a horizontal translation left by 5.

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Adrianna Hester · Answer 1

Start with y = x^2.

Vertical reflection over the x-axis: y = - x^2

Vertical translation up by 2: y = x^2 + 2

Horiz. transl. left by 5: y = (x+5) ^2