In Problems 73-80, (a) find the intercepts of each equation, (b) test each equation for symmetry with respect to the x-axis, the y-axis, and the origin, and (c) graph each equation by hand by plotting points. Be sure to label the intercepts on the graph and use any symmetry to assist in drawing the graph. Verify your results using a graphing utility. x + y 2 = 4
In Problems 73-80, (a) find the intercepts of each equation, (b) test each equation for symmetry with respect to the x-axis, the y-axis, and the origin, and (c) graph each equation by hand by plotting points. Be sure to label the intercepts on the graph and use any symmetry to assist in drawing the graph. Verify your results using a graphing utility. x + y 2 = 4
Solution Summary: The author explains how the equation x + y 2 = 4 is symmetric with respect to X -axis, Y-axes and origin.
In Problems 73-80, (a) find the intercepts of each equation, (b) test each equation for symmetry with respect to the x-axis, the y-axis, and the origin, and (c) graph each equation by hand by plotting points. Be sure to label the intercepts on the graph and use any symmetry to assist in drawing the graph. Verify your results using a graphing utility.
Expert Solution & Answer
To determine
To find: The intercepts of the equation symmetry with respect to ,
and origin and graph of the equation
Answer to Problem 76AYU
is
are
Explanation of Solution
Given:
The equation
Calculation:
To find , let in the equation
is
To find , let in the equation
is
and
To find the symmetry with respect to , replace
by in the equation
which is equivalent to the original equation. The graph of the equation is symmetric with respect to the
To find the symmetry with respect to , replace
by
in the equation
which is equivalent to the original equation. The graph of the equation is symmetric with respect to the .
To find the symmetry with respect to the origin, replace
by
and
by in the equation
which is equivalent to the original equation. The graph of the equation is symmetric with respect to the origin
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY