SOLUTION: 15. Algebraically determine if the relation x − y2 = 4 is symmetric with respect to the x-axis, y-axis, the origin or no symmetry. a.the origin b.x-axis c.no s

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 15. Algebraically determine if the relation x − y2 = 4 is symmetric with respect to the x-axis, y-axis, the origin or no symmetry. a.the origin b.x-axis c.no s      Log On


   

Question 1086066: 15.
Algebraically determine if the relation x − y2 = 4 is symmetric with respect to the x-axis, y-axis, the origin or no symmetry.

a.the origin

b.x-axis

c.no symmetry

d.y-axis
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+-+y%5E2+=+4+
This is symmettic about the x-axis because ( x, a ) and ( x, -a )
always gives the same +x+.
Here's the plot:
+graph%28+500%2C+400%2C+-2%2C+16%2C+-6%2C+6%2C+sqrt%28+x+-+4+%29%2C+-sqrt%28+x+-+4+%29+%29+

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x-+y%5E2+=+4
x+-4=+y%5E2+
y=sqrt%28x+-+4%29+

c.no symmetry

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28x-4%29%29+