Question

Select all of the quadrants that the parabola whose equation is x = y² + 1 occupies.

Answer 1

Hello, and thank you for posting your question here on brainly.

When you solve the equation x = y^2 + 1, you get this line.

(photo)

The line graphed takes both quadrants I & IV, or 1 & 4.

Hope this helps! ☺♥

Answer 2

Answer:

Option (a) and (d ) is correct.

The parabola whose equation is  $x=y^2+1$ occupies I and IV quadrant.

Step-by-step explanation:

Given : Equation of parabola as $x=y^2+1$

We have to choose the quadrants that the parabola whose equation is  $x=y^2+1$ occupies.

Consider the given equation $x=y^2+1$

Since, y can take both negative and positive values.

So y can be both positive and negative.

But $y^2$ will be positive always as square of a number whether positive or negative will be positive always.

Thus,  x will be positive always.

And we know when both x and y are positive then the point lies in  first quadrant and when x is positive and y is negative then the point lies in  fourth quadrant.

Thus, The parabola whose equation is  $x=y^2+1$ occupies I and IV quadrant.