SOLUTION: The graph of 2y^4 -x^2 +11 =0 is symmetric with respect which of the following?
1. The x axis
2. The y axis
3. The origin
A)only 1
B)only 2
C)only 3
D)1,2, and 3
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-> SOLUTION: The graph of 2y^4 -x^2 +11 =0 is symmetric with respect which of the following?
1. The x axis
2. The y axis
3. The origin
A)only 1
B)only 2
C)only 3
D)1,2, and 3
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Question 1089174: The graph of 2y^4 -x^2 +11 =0 is symmetric with respect which of the following?
1. The x axis
2. The y axis
3. The origin
A)only 1
B)only 2
C)only 3
D)1,2, and 3 Found 2 solutions by stanbon, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The graph of 2y^4 -x^2 +11 =0 is symmetric with respect which of the following?
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y^4 = (x^2-11)
So f(x) = (x^2-11)^(1/4)
f(-x) = (x^2-11)^(1/4)
-f(-x) = -(x^2-11)^(1/4)
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Since f(x) = f(-x) you have y-axis symmetry.
Since f(x) does not equal -f(-x) you do not have origin symmetry.
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Cheers
Stan H.
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1. The x axis
2. The y axis
3. The origin
A)only 1
B)only 2
C)only 3
D)1,2, and 3
The graph of 2y^4 -x^2 +11 =0 is symmetric with respect which of the following?
1. The x axis
2. The y axis
3. The origin
A) only 1
B) only 2
C) only 3
D) 1, 2, and 3
Plot y1 = (red) and y2 = (green).
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