Question

The parabola x = y² - 9 opens:
a.)up
b.)down
c.) right
d.)left

Answer 1

Right side towards positive x axis

Explanation:

Let us see the basic rule to find the orientation of parabolas.

1. If power if x is 2 and y is 1 , the parabola opens up or down.

2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.

3. If the coefficient of
`x^(2)` in case 1 is negative it opens downward

4. If the coefficient of
`y^(2)` in case 2 is negative , it opens left towards negative x axis.

Hence our equation is

`x=y^2-9`

here is satisfies the case 2. hence it opens right or left . Also the coefficient of

`y^(2)` is positive so it opens up to the right side , that is towards positive x axis.