Question

Select all of the quadrants that the parabola whose equation is x = 2y² + 3 occupies.

Answer 1

Because this is a sideways-opening parabola, and to the right to be specific, it will occupy Quadrants I and IV only. The vertex is at (3, 0).

Answer 2

This means the quadrants covered by the graph is 1 and IV

Explanation:

The equation of the parabola is given to be : x = 2y² + 3

Since, The degree of variable y is 2 so the graph is symmetrical to x-axis and also opening left or in right direction.

Now, x = 2y² + 3

comparing this equation with the standard form of equation.

Vertex of the parabola : (3 , 0)

Also, The opening is towards right as the value of a > 0

This means the quadrants covered by the graph is 1 and IV