For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin. Check all symmetries that apply.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 21E
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For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin.
Check all symmetries that apply.
(a) x=y²-2
Symmetry:
O x-axis
Oy-axis
origin
none of the above
(b) 30x¹+30y=80
Symmetry:
O x-axis
Oy-axis
origin
none of the above
X
Transcribed Image Text:For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin. Check all symmetries that apply. (a) x=y²-2 Symmetry: O x-axis Oy-axis origin none of the above (b) 30x¹+30y=80 Symmetry: O x-axis Oy-axis origin none of the above X
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