Question

By shifting origin to (-1,2) the equation
y2 + 8x - 4y + 12 = Ochanges as
Y2 = 4aX then a =​

Answer 1

Answer:

a= -2

Step-by-step explanation:

After shifting the origin to (-1,2) then x=X-1,y=Y+2

y2+8x-4y+12=0

(Y+2)2+8(X-1)-4(Y+2)+12=0

Y2+4Y+4+8X-8-4Y-8+12=0

Y2+8X=0

Y2=-8x

but it is given as Y2=4ax

therefore a = -2

Answer 2

Answer:

a= -2

Step-by-step explanation:

After shifting the origin to (-1,2) then x=X-1,y=Y+2

y2+8x-4y+12=0

(Y+2)2+8(X-1)-4(Y+2)+12=0

Y2+4Y+4+8X-8-4Y-8+12=0

Y2+8X=0

Y2=-8x

but it is given as Y2=4ax

therefore a = -2