Indicate whether each statement below is true or false. (a) If the graph of an equation passes through the point (a,b) and has x-axis symmetry, then the graph of the equation also passes through the point (a, b). ---Select--- V (b) If the graph of an equation passes through the point (a,b) and has both x-axis and y-axis symmetry, then the graph of the equation is symmetric with respect to the origin. ---Select--- (c) If the graph of an equation is not symmetric to the y-axis, then the graph is not symmetric with respect to the origin ---Select---

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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for each "select" it's either True or false :)

Indicate whether each statement below is true or false.
(a) If the graph of an equation passes through the point (a,b) and has x-axis symmetry, then the graph of the equation also passes through
the point (a, b) . ---Select--- V
(b) If the graph of an equation passes through the point (a,b) and has both x-axis and y-axis symmetry, then the graph of the equation is
symmetric with respect to the origin. ---Select--- ✓
(c) If the graph of an equation is not symmetric to the y-axis, then the graph is not symmetric with respect to the origin ---Select---
Transcribed Image Text:Indicate whether each statement below is true or false. (a) If the graph of an equation passes through the point (a,b) and has x-axis symmetry, then the graph of the equation also passes through the point (a, b) . ---Select--- V (b) If the graph of an equation passes through the point (a,b) and has both x-axis and y-axis symmetry, then the graph of the equation is symmetric with respect to the origin. ---Select--- ✓ (c) If the graph of an equation is not symmetric to the y-axis, then the graph is not symmetric with respect to the origin ---Select---
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