Algebra 2 Conics help

x^2+4y^2+10x-8y+13=0-Need standard form of the conic

Write standard form of ellipse given: Vertices(-5,4) and (9,4) and focus (-4,4)

Identify the center of the hyperbola: (y-5)^2 over 9 - (x+2)^2 over 16=1

Label all important points: (x+2)^2 over 9 - (y-1)^2 over 25 =1
Need Center:__ Vertices:___ Co-Vertices:____ Foci:______ Equations of asymptote lines:________

Hello

parabola:

(x+5)^2 + 4(y - 1)^2 = 16
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ellipse:

(x-2)^2/49 - (y-4)^2/13 = 1

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center: (5, -2)
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center (-2, 1)

vertices ( -5,1) , (1,1)

foci (-2 - √34, 1) , (-2 + √34, 1)

asymptotes:

y = 5x/3 +13/3

y = 5x/3 - 7/3

Regards