What Does The Equation Z = Y2 Represent?

We thoroughly check each answer to a question to provide you with the most correct answers. Found a mistake? Tell us about it through the REPORT button at the bottom of the page. Ctrl+F (Cmd+F) will help you a lot when searching through such a large set of questions.

What does the equation z = y^2 represent?

Answer: parabolic cylinder


Recall from the previous subquestion that we have identified y=x^2 as a parabola in R^2 in the xy-plane. Likewise, z=y^2 represents a parabola in R^2 in the yz-plane.

Extending the same logic in R^3 from the previous question, since the variable x is missing, the equation is also a parabolic cylinder in R^3.

This time, its trace is a parabola in the yz-plane with the parabola pointing up in the direction of the +z-axis and its rulings are parallel to the x-axis. See the attached image for reference.

what does the equation z = y2 represent?

Was this helpful?

Quizzma Team
+ posts

The Quizzma Team is a collective of experienced educators, subject matter experts, and content developers dedicated to providing accurate and high-quality educational resources. With a diverse range of expertise across various subjects, the team collaboratively reviews, creates, and publishes content to aid in learning and self-assessment.
Each piece of content undergoes a rigorous review process to ensure accuracy, relevance, and clarity. The Quizzma Team is committed to fostering a conducive learning environment for individuals and continually strives to provide reliable and valuable educational resources on a wide array of topics. Through collaborative effort and a shared passion for education, the Quizzma Team aims to contribute positively to the broader learning community.