Answered

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The equation [tex][tex]$x = 6y^2$[/tex][/tex] describes a parabola. Which way does the parabola open?

A. Left
B. Right
C. Down
D. Up

Sagot :

GinnyAnswer
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
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