tyrique86
27.07.2019 •
Mathematics
Solve and graph each inequality. l2c-5l< 9
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Ответ:
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: