SOLUTION: Find the roots (y intercepts) : F(x) = 1/2X^2 - 4 How do I solve this?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the roots (y intercepts) : F(x) = 1/2X^2 - 4 How do I solve this?      Log On


   

Question 1025509: Find the roots (y intercepts) :
F(x) = 1/2X^2 - 4
How do I solve this?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The roots are the x-intercepts not the y-intercepts.
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Solving for y-intercepts: Set x=0 solve for y
y=%281%2F2%29%280%29%5E2-4
y=-4
(0,-4)
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Solving for x-intercepts : Set y=0 solve for x,
0=%281%2F2%29x%5E2-4
%281%2F2%29x%5E2=4
x%5E2=8
x=0+%2B-+sqrt%288%29
x=0+%2B-+2sqrt%282%29
(2sqrt%282%29,0)
(-2sqrt%282%29,0)
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