Which quadrants does the parabola whose equation is $x = y² + 1$ occupy?

Question

2197 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-12T05:32:52

$Q1$ and $Q4$ quadrants

As $x=y^2+1$ , it is quite apparent that though $y$ may take positive and negative values, as $y^2+1$ is always positive and

$x$ too is always positive,,

Hence, parabola $x=y^+1$ occupies $Q1$ and $Q4$ quadrants
graph{y^2-x+1=0 [-9.5, 10.5, -4.88, 5.12]}

Which quadrants does the parabola whose equation is x = y² + 1x = y² + 1 occupy?