For this graph, mark the statements that are true. +1
O A. The range is the set of all real
numbers
-1
B. The domain is the set of all real
numbers.
73
O C. The range is the set of all real
numbers greater than or equal to
zero.
D. The domain is the set of all real numbers greater than or equal to
zero.

third choice.

step-by-step explanation:

this a parabola is opened up since the directrix is under the focus and the directrix is horizontal.

this means the square part will be on the x:

the vertex is (h,k).

we already determined p was positive because it is faced up.

|p| also gives us the distance between the focus and the vertex or the distance between the vertex and the directrix.

this means 2|p| gives us the distance between the directrix and the focus.

the distance between the directrix y=-1 and the focus   (0,3) is )=4.

so 2|p|=4.

divide both sides by 2:

|p|=2

p=2 or p=-2

p=2 means the parabola is faced up.

p=-2 means the parabola is faced down.

we already determine p is positive so p=2.

  so we have this so far:

now the vertex lays halfway between the directrix y=-1 and the focus (0,3), so the vertex is .

plug in (h,k) as (0,1) to give us:

solve for y.

distribute:

add 8 on both sides:

divide both sides by 8:

simplify both sides: