SOLUTION: Write the following in standard form and name the conic section.
1. x^2+6x-3y+15=0
2. x^2+y^2-2x+2y-7=0
and
3. x^2-6x+9+y^2-18y+81=36
I know you have to set all equations equa
Algebra.Com
Question 696337: Write the following in standard form and name the conic section.
1. x^2+6x-3y+15=0
2. x^2+y^2-2x+2y-7=0
and
3. x^2-6x+9+y^2-18y+81=36
I know you have to set all equations equal to zero, and complete the square i just dont know how and what order. PLEASE HELP!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the following in standard form and name the conic section.
1. x^2+6x-3y+15=0
x^2+6x +9 = 3y-15 + 9
(x+3)^2 = 3y-6
3(y-2) = (x+3)^2
y = (1/3)(x^3)^2+2
----
Parabola opening upward from (-3,2)
==========================================
2. x^2+y^2-2x+2y-7=0
(x^2-2x+1) + (y^2+2y+1) = 7 + 1 + 1
(x-1)^2 + (y+1)^2 = 9
Circle with center at (1,-1) and radius = 3
===========================================
and
3. x^2-6x+9+y^2-18y+81=36
x^2-6x+9 + y^2-18y+81 = 36
(x-3)^2 + (y-9)^2 = 36
Circle with center at (3,9) and radius = 6
==============================================
Cheers,
Stan H.
RELATED QUESTIONS
Write this conic section in standard form.... (answered by stanbon,lwsshak3)
Classify the conic section and write its equation in standard form
x^2 +4^2-6x-16y+21=0
(answered by lynnlo)
classify the conic section and write each equation in standard form.
x^2-8x+4y+16=0,... (answered by venugopalramana)
Identify the conic section represented by the equation: y^2 + 2y + 1 = 6x - x^2. Write in (answered by vleith,solver91311)
Identify the type of conic and write the equation in standard form:
x^2+y^2-6x+4y+3=0
(answered by lwsshak3)
Classify the conic section and write its equation in standard form.... (answered by MathLover1)
Classify the conic section and write its equation in standard form.... (answered by Boreal,MathLover1)
classify conic section and write equation in standard form (answered by venugopalramana)
Classify the conic section, write it's equation in standard form, and graph.... (answered by ewatrrr)