SOLUTION: Hello can you please help me write this equation in standard form and identify the center, vertices, co vertices, and foci. x^2+10-4y +1= 0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Hello can you please help me write this equation in standard form and identify the center, vertices, co vertices, and foci. x^2+10-4y +1= 0      Log On


   

Question 448876: Hello can you please help me write this equation in standard form and identify the center, vertices, co vertices, and foci.
x^2+10-4y +1= 0
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

x^2+10-4y +1= 0

  4y = x^2 + 11

   y = (1/4)x^2 + 11/4  Vertex (0,11/4)



Standard form is %28x+-h%29%5E2+=+4p%28y+-k%29, where  the focus is (h,k + p) 

  4y -11 = x^2

  x^2 = 4(y-11/4)  4p = 4, p = 1  focus (0,11/4+1) or (0,15/4)