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)
---
Since f(x) = f(-x) you have y-axis symmetry.
Since f(x) does not equal -f(-x) you do not have origin symmetry.
---
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
Answer by ikleyn(52818)   (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?
 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).


      The correct answer is  OPTION  D).



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