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Hyperbola Transformation Question?

sooo i need a bit of help with this question, i understand the answer because i did the graph sketches but i don't really know how to solve it w/o them?

'State clearly the geometrical transformation involves in transforming the curve y=2x² into the curve y²=2x'

I started off with reflecting in y=x which gave 2y²=x, but then i'm not sure how to get that to y²=2x ? can someone explain ?? thanks

(edited 7 years ago)

Reply 1

Kvothe the Arcane

y^2=2x is the same as 4y^2=8x
I hope that hint helps

Original post by ithinkitslily

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Reply 2

ithinkitslily

Original post by Kvothe the Arcane

y^2=2x is the same as 4y^2=8x
I hope that hint helps

thanks! i've solved it now by i realised i could do it in 2 different ways so i was just wondering, in this situation, is stretching by 2 in the y direction the same as stretching by 1/4 in the x direction? thanks!