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

Jun 12, 2017

$Q 1$ and $Q 4$ quadrants

#### Explanation:

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 $Q 1$ and $Q 4$ quadrants
graph{y^2-x+1=0 [-9.5, 10.5, -4.88, 5.12]}