How do I find the equation for the surface consisting of all points P for which the distance from P to the y-axis is half the distance from P to the xz-plane? Also, what is the name of said surface?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 8E
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How do I find the equation for the surface consisting of all points P for which the distance from P to the
y-axis is half the distance from P to the xz-plane? Also, what is the name of said surface?

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