SOLUTION: Write the following equation in standard form, then identify the type of conic and graph:x^2+20x-4y+100=0

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Question 753263: Write the following equation in standard form, then identify the type of conic and graph:x^2+20x-4y+100=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the following equation in standard form, then identify the type of conic and graph:
x^2+20x-4y+100=0
complete the square:
(x^2+20x+100)-100-4y+100=0
(x+10)^2-4y=0
(x+10)^2=4y
This is an equation of a parabola with vertex at (-10,0)
see graph below:
+graph%28+300%2C+300%2C+-20%2C+5%2C+-10%2C+10%2C+%28x%2B10%29%5E2%2F4%29+