Give standard form of parabola

Question

Give the standard form of the equation of the parabola with the given characteristics vertex: (1,-8) focus: (2,-8)

 

Answer 1

v(1,-8), f(2,-8), directrix x=0 or the y axis

a rightward opening horizontal parabola

x=a(y+8)^2 +1

plug in another point on the parabola to solve for "a: (2,-6)

2=a(-6+8)^2 +1= 4a +1

a=1/4=.25

x=.25(y+8)^2 +1