SOLUTION: Find the center,vertices, foci, and asymptotes of the hyperbola 4x2-y2-8x+2y-1=0 and draw a graph. Find the vertex, focus, and directrix of the parabola x2-4x-4y+16=0. graph th

Question 52470: Find the center,vertices, foci, and asymptotes of the hyperbola 4x2-y2-8x+2y-1=0 and draw a graph.
Find the vertex, focus, and directrix of the parabola x2-4x-4y+16=0. graph
thank you very much

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the vertex, focus, and directrix of the parabola x^2-4x-4y+16=0
--------
Rewrite as x^2-4x+? = 4y+16+?
Complete the square:
x^2-4x+4 = 4y+20
(x-2)^2=4(1)(y+5)
--------------
Vertex at (2,-5).
Since 4p=4, p=1
Focus = (2,-5+1)= (2,-4)
Directrix is y=-5-1=-6
Cheers,
Stan H.

RELATED QUESTIONS
1) Find the vertices and foci of the ellipse 4x2 + 25y2 - 16x + 100y = -16 2) Find... (answered by Nate)

find the center, vertices, foci and asymptotes of the hyperbola 1x^2-y^2-8x+2y-1=0 and... (answered by lwsshak3)

Discuss the conic 4x2-y2+8x+2y-1=0 find its foci, vertices and asymptotes if... (answered by MathLover1)

Find the center, the vertices, the foci, and the asymptotes of the hyperbola. Then draw... (answered by lynnlo)

Find the center, vertices, foci, and asymptotes of the hyperbola 4x^2-y^2-8x-2y-1=0.... (answered by asinus)

Complete the square to determine whether the equation represents an ellipse, a parabola,... (answered by MathLover1)

find the center, vertices, and foci of the ellipse 4x2+25y2-8x+100+4=0.... (answered by Nate,AnlytcPhil)

I need to know what is the center, vertices, and foci of this ellipse... (answered by Edwin McCravy)

find the center, the vertices, foci, and the asymptotes of the hyperbola. then draw the... (answered by lwsshak3)