Explanation Procedure used: “ Procedure for finding intercepts : 1. To find the x - intercept, if any, of the graph of an equation, let y = 0 in the equation and solve for x . 2. To find the y - intercept, if any, of the graph of an equation, let x = 0 in the equation and solve for y ”. Rules used: “ Test for Symmetry : To test the graph of an equation for symmetry with respect: x - Axis : Replace y by – y in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the x -axis. y - Axis : Replace x by– x in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the y -axis. Origin : Replace x by– x and y by – y in the equation. If an equivalent equation results, the graph of the equation is symmetric with respect to the origin”. Calculation: Obtain the x -intercept point of the given equation as follows. Set y = 0 and solve the equation for x as, ( 0 ) 2 = x + 9 0 = x + 9 x = − 9 Thus, the x -intercept point of the given equation is ( − 9 , 0 ) . Obtain the y -intercept point of the given equation as follows. Set x = 0 and solve the equation for y as, y 2 = 0 + 9 y = ± 9 y = ± 3 Thus, the y -intercept points of the given equation is ( 0 , 3 ) and ( 0 − 3 ) . Therefore, the intercepts are ( − 9 , 0 ) , ( 0 , 3 ) and ( 0 , − 3 )

College Algebra: Concepts Through Functions (4th Edition)

4th Edition

ISBN: 9780134686967

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter F.2, Problem 56AYU

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The intercepts points of the equation y2=x+9 and test for symmetry.

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Chapter F.2, Problem 55AYU

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Chapter F Solutions

College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - Prob. 1AYU Ch. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - The area A of a triangle whose base is b and whose...Ch. F.1 - True or False Two triangles are congruent if two...Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - If three distinct points P, Q, and R all lie on a...Ch. F.1 - True or False The distance between two points is...

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