Find a Cartesian equation for:

Eliminate the parameter t to find a Cartesian equation for:
x=t^2

y=8+3t
x=Ay^2 + By +C

where A=?
B=?
C=?

y = 8 + 3t
3t = y - 8
t = (1/3) * (y - 8)

x = t^2
x = (1/3)^2 * (y - 8)^2
x = (1/9) * (y^2 - 16y + 64)
y = (1/9) * y^2 - (16/9) * y + (64/9)

x=t²
y=8+3t

we need to find values of A,B and C such that:

x=Ay²+By+C

y=8+3t
3t=y-8

t=(y-8)/3

x=t² =>[(y-8)/3]²

x=(y-8)² / 9

x = y²-16y+64 / 9

x= (1/9)y² +(-16/9)y +64/9

A=1/9
B=-16/9
C=64/9