SOLUTION: Please explain how to solve this step by step:
Tell which conic is identified by each equation:
1.) {{{3x^2 - 2y^2 + 3y - 9 = 0}}}
3.) {{{7x^2 + 8x - 3y + 7 = 0}}}
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Question 807214: Please explain how to solve this step by step:
Tell which conic is identified by each equation:
1.)
3.)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Tell which conic is identified by each equation:
1.)
3.)
***
1.)
3x^2 - 2y^2 + 3y - 9 = 0
3x^2 - 2y^2 + 3y =9
complete the square:
3x^2-2(y^2-3y/2+9/16)=-9/8+9
3x^2-2(y-3/4)^2=63/8
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form: , (h,k)=(x,y) coordinates of center
..
3.)
7x^2 + 8x - 3y + 7 = 0
7x^2 + 8x +7 = 3y
complete the square:
7(x^2+8x/7+64/196)+7= 3y+64/28
7(x+8/14)^2+7-64/28=3y
This is an equation of a parabola that opens upwards:
Its standard form: , (h,k)=(x,y) coordinates of the vertex
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