SOLUTION: 20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y.
A hyperbola
B circle
C ellipse
D line
E Graph is not a conic section.
F parabola
I'm not sure wher
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Question 162033: 20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y.
A hyperbola
B circle
C ellipse
D line
E Graph is not a conic section.
F parabola
I'm not sure where to start, I really would apperciate your help with how to solve this to come to the correct answer. Thank you so much!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how there is no term. So this means that the equation is NOT a circle, ellipse, or hyperbola. So it's either a line or a parabola. However, let's use some algebra to find out for sure.
Start with the given equation
Subtract 18x from both sides
Rearrange the terms
Rearrange the equation
Divide both sides by 4 to isolate "y"
Break up the fraction
Reduce
So this equation fits the general second degree polynomial which means that it is a parabola. If we graph , we get
Graph of
So this confirms our answer.
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