A parabola can be drawn given a focus of (4, 5) and a directrix of x=−6. What can be said about the parabola?

x=-1

Step-by-step explanation:

since directrix is parallel to y-axis, it is a horizontal parabola,

x=a(y-k)^2-h

the difference between directrix and focus is 10, so p=5

p=1/4a=5

solve for a, a=1/20

horizontal focus (p,0): (5,0) --> (4,5) meaning shift 1 left, 5 up (h=1, k=5)

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get