SOLUTION: Matrices transformation question!! Transform the function y=2x^2+1 according to the following transformations.In order: i) Dilate by 2 units in the direction of the y-axis

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Question 1037681: Matrices transformation question!!

Transform the function y=2x^2+1 according to the following transformations.In order:
i) Dilate by 2 units in the direction of the y-axis
ii) Reflect about the line y=x
iii) Rotate the function anticlockwise by 90 degrees about the point (1,3)
Give your answer in the form y=ax^2+bx+c
A help would be very appreciated!

Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
Dilate by two units in the direction of the y axis means y turns to 2y
2y+=+2x%5E2+%2B+1
Reflect about y = x
means x and y are exchanged thus we get
2x+=+2+y%5E2+%2B+1
Rotate anticlockwise by 90 degrees means x-1 turns into y-3 and y-3 into -(x-1).
2x-2+=+2y%5E2+-1+=+2%28y-3%29%5E2+%2B+12+y+-+18+-+1
2%28x-1%29+=+2%28y-3%29%5E2+%2B+2%28y-3%29++-+13
2%28y-3%29=+2%28x-1%29%5E2+-+2+%28x-1%29+-+13
2y+-+6+=+2x%5E2+-+4x+%2B+2+-+2x+%2B2+-13
2y+=+2x%5E2+-+6x+-3
y+=+x%5E2+-3x+-3%2F2