Math  /  Algebra

QuestionWhich type of conic is represented by the equation below? x=3y2+30y80x=-3 y^{2}+30 y-80
This is an equation of a parabola. Write the equation of this conic section in conic form.

Studdy Solution
Simplify the expression by completing the square and adjusting the constant term.
x=3((y5)225)80 x = -3((y - 5)^2 - 25) - 80 x=3(y5)2+7580 x = -3(y - 5)^2 + 75 - 80 x=3(y5)25 x = -3(y - 5)^2 - 5
The equation of the conic section in conic form is:
x=3(y5)25 x = -3(y - 5)^2 - 5

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