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Why are the graphs of y^{2}=x and y=√x so different? They're supposed to be the same, aren't they? I'm usually good at maths but I honestly don't understand this. Can someone explain please? Thanks :).
JJacquelin said:They are not different.
But do not forget the sign (+or-) in front of the square root.
And you have to plot x=y², not y=x². Since your drawing tool draws the ordinate as a function of the abscissa and that you have to plot x as a function of y (not y as a function of x as usual), you have to rotate the sheet of paper (the axes) of 90°
Call me a pedant, but generally you shouldn't "rotate the graph" - you should "reflect the graph" in the line y=x. In this particular case it happens to produce the same result.JJacquelin said:They are not different.
But do not forget the sign (+or-) in front of the square root.
And you have to plot x=y², not y=x². Since your drawing tool draws the ordinate as a function of the abscissa and that you have to plot x as a function of y (not y as a function of x as usual), you have to rotate the sheet of paper (the axes) of 90°
noahsdev said:Why are the graphs of y^{2}=x and y=√x so different? They're supposed to be the same, aren't they? I'm usually good at maths but I honestly don't understand this. Can someone explain please? Thanks :).
The two graphs ARE different. The graph of y =√x is the upper half of the graph of y^{2} = xJJacquelin said:They are not different.
noahsdev said:But do not forget the sign (+or-) in front of the square root.
And you have to plot x=y², not y=x². Since your drawing tool draws the ordinate as a function of the abscissa and that you have to plot x as a function of y (not y as a function of x as usual), you have to rotate the sheet of paper (the axes) of 90°