



 
Hi Jil, As you indicated the parabola x = y^{2} is "on its side". x = y^{2} You can determine the shape of x = 4 y^{2} by substituting some numbers as you suggest. Sometimes you can see what happens without using specific points. Suppose the curves are x = y^{2} and x = 4 y^{2} and and you want to find points on the two curves with the same yvalue. Then substitute y^{2} from the first equation into the second to obtain
So to achieve the same yvalue the xvalue on the second curve must be (minus) 4 times the xvalue on the first curve. x = 4y^{2} and x = y^{2} I hope this helps,  


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