SOLUTION: Identify the graph of the conic section defined by the following equation. x^2+4x-y+9=0

Question 502968: Identify the graph of the conic section defined by the following equation.
x^2+4x-y+9=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Identify the graph of the conic section defined by the following equation.
x^2+4x-y+9=0
**
x^2+4x-y+9=0
y=x^2+4x+9
complete the square
y=(x^2+4x+4)+9-4
y=(x+2)^2+5
This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex: (-2,5)
Parabola opens upwards, has a minimum
Axis of symmetry: x=-2
RELATED QUESTIONS
classify the conic section defined by thr equation. write the standard equation of the... (answered by jim_thompson5910)

which conic section is defined by the equation... (answered by Alan3354)

find the standard form of each equation by completing the square then identify the conic... (answered by lwsshak3)

Identify the type of conic section whose equation is given and find the vertices and... (answered by Fombitz)

Identify the conic section that the equation... (answered by Alan3354)

find the focus of the conic section defined by 12x+y^2-14y+1=0 (answered by lwsshak3)

Identify the conic section represented by the equation x^2+4x-12y-8=0. Write the standard (answered by solver91311)

identify the conic section with the equation x^2 + y^2 - 6x - 4y - 68 = 0 (answered by scott8148)

Identify the center of the conic section whose equation is x 2 + y 2 + 6 x - 4 y - 12 =... (answered by lwsshak3)