Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.