SOLUTION: Can someone please help me. Graph each equation. Identify the conic section, any lines of symmetry, and the domain and range. X=2y^2+5

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can someone please help me. Graph each equation. Identify the conic section, any lines of symmetry, and the domain and range. X=2y^2+5       Log On


   

Question 1011663: Can someone please help me. Graph each equation. Identify the conic section, any lines of symmetry, and the domain and range. X=2y^2+5

Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
This is half of a parabola
f(x) = sqrt( (x-5) / 2 )
domain is all real numbers x > or = 5
range is all real numbers f(x) > or = 0
here is the graph
graph%28300%2C+200%2C+-5%2C+20%2C+-5%2C+5%2C+sqrt%28%28x-5%29%2F2%29%29

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Graph each equation. Identify the conic section, any lines of symmetry, and the domain and range. X=2y^2+5
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Parabola.
Line of symmetry: y = 0.
The domain: all real numbers.
The range: all real number >= 5.
The plot:



Figure.