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. y = x 2 − 5
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. y = x 2 − 5
Solution Summary: The author explains how to find the intercepts of the equation y = x 2 5 and its graph.
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 73AYU
Explanation of Solution
Given:
The equation
Calculation:
To find , let
in the equation
Adding 5 to both sides
are
and
To find , let in the equation
is
To find the symmetry with respect to , replace
by
in the equation
which is not equivalent to the original equation. The graph of the equation is not 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 not equivalent to the original equation. The graph of the equation is not symmetric with respect to the origin.
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