Answer :
To determine the direction in which the parabola described by the equation [tex]\( x = 6 y^2 \)[/tex] opens, let's analyze the standard form of the parabola.
The equation given is [tex]\( x = 6 y^2 \)[/tex].
This equation is similar to the standard form of a parabola [tex]\( x = ay^2 \)[/tex], where [tex]\( a \)[/tex] is a constant. For parabolas of this form:
- If [tex]\( a > 0 \)[/tex], the parabola opens to the right.
- If [tex]\( a < 0 \)[/tex], the parabola opens to the left.
In the given equation, the coefficient [tex]\( a \)[/tex] equals 6, which is greater than 0.
Since [tex]\( a = 6 \)[/tex] and [tex]\( 6 > 0 \)[/tex], the parabola opens to the right.
Therefore, the correct answer is:
B. Right
The equation given is [tex]\( x = 6 y^2 \)[/tex].
This equation is similar to the standard form of a parabola [tex]\( x = ay^2 \)[/tex], where [tex]\( a \)[/tex] is a constant. For parabolas of this form:
- If [tex]\( a > 0 \)[/tex], the parabola opens to the right.
- If [tex]\( a < 0 \)[/tex], the parabola opens to the left.
In the given equation, the coefficient [tex]\( a \)[/tex] equals 6, which is greater than 0.
Since [tex]\( a = 6 \)[/tex] and [tex]\( 6 > 0 \)[/tex], the parabola opens to the right.
Therefore, the correct answer is:
B. Right
