How do I rotate a parabola from opening up to opening horizontally?
1 Answer
Aug 22, 2014
You can swap
Let's do an example for the inverse relation of
#x=y^2+6y+8#
#x=(y^2+6y)+8# start completing the square for#y#
#x=(y^2+6y+9)+8-9#
#x=(y+3)^2-1#
#x+1=(y+3)^2#
#+-sqrt(x+1)=y+3#
#-3+-sqrt(x+1)=y#
#y=-3+-sqrt(x+1)#
You will want to notice that the inverse is a relation and not a function because it doesn't pass the vertical line test.