Question

pls find the equation of the parabola in standard form and identify the vertex, focus and directrix :)

y^2 + 25 = 6x -1

Answer 1

y^2=6x-26
y^2=6(x-(26/6))
y^2=6(x-(13/3))
\[(y-0)^{2}=4(6/4)(x-13/3)\]

Answer 2

what if it there was a y already ?

like it's gonna be y^2 + 20y = 6x -1

Answer 3

y^2+20y+100-100=6x-1
(y+10)^2=6x-1+100
(y+10)^2=6x+99
(y+10)^2=6(x+(99/6))
(y+10)^2=6(x+33/2)

Answer 4

or for standard form::::
(y+10)^2=4(6/4)(x+33/2)

Answer 5

i used completing the square method out here.......

Answer 6

thank you so much ! :)