Question

The parabola x = y² - 9 opens:

Answer 1

The parabola opens right.

Explanation:

The given parabola is
`x=y^2-9`

We know that:-

• If the x term is square then the parabola opens upward or downward based on the value of a. If a>0 then parabola opens upward and if a<0 then the parabola open downwards.

• If the y term is square then the parabola opens left or right based on the value of a. If a>0 then parabola opens right and if a<0 then the parabola open left.

Now, in the given equation, the y term is square. Hence, the parabola either opens left or right.

Now, comparing with
`x=ay^2+by+c`

The value of a is 1 >0

Hence, the parabola open right.

Answer 2

The parabola x = y² - 9 opens to the right. The vertex is at (-9,0). Since y has no negative coefficient, the parabola opens to the right. Parabola is two-dimensional and is a mirror-symmetrical curve. It is more or less U-shaped.