Question

graph of y-x^2=0 lies in the quadrants_____, _____

Answer 1

y= x^2
as we know the square of any number cannot be negative
so the curve or parabola won't be in the third or fourth quadrant as it's ordinance is always non negative this the parabola lies in the first and second quadrant

Answer 2

y - x^2 = 0 
which means 
y= x^2 
x^2 =1/4y 
it is an equation of parabola while comparing in with x^2 = 4ay 
here a= 1/4 
so its graph is like this  
in 1st and 2n quadrant