The parabola opens: y=√x-4 (principal square root) up down right left

right towards positive x axis

Step-by-step explanation:

In order to find the orientation of the parabolas we can follow following steps.

1. if in the equation x is squared , the parabola opens up. Also if its coefficient is negative it opens down.

2. If y is squared , the parabola opens right , and its coefficient is negative , it opens left

but before that we have to convert our function in standard form of the parabola. Our equation is

hence we square on both sides

which is now into one of the standard form of a parabola. here y is squared and its coefficient is not negative hence it opens towards right.

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )