(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k
nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix
I will only convert the 1st one fully, you should be able to do the rest
1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
(-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)
k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5
basically completee the square with x and find P by force factoring a 4 out
2. directix: y=-1.75
3. directix: y=1.5
4. directix: y=17.25
5. d: -37.5
6. d: 9.25
7. d=2.625
order them yourself
Answer:
The answer will be $54.5
Step-by-step explanation:
If 7 people slit $381.50 evenly, we will have
$381.50/7 = $54.5
Answer:
hope this helps A chair that costs $210 was reduced by 40% for a one-day sale. After the sale, the sale price was ... SALE. tmsysWOW!$10 OFF ... off. 1.83. 169 99. Buy 1 Large Cheese Pizza for $12.50,. Get the 2nd for 1 offi ... Tai has a coupon for 20% off his total. Tax is. 8.25%. Find the total cost of Tai's purchase after the discount and tax.
Step-by-step explanation:
Answer:
is
Step-by-step explanation:
took the quiz
Answer:
Therefore the required equation is
Y=5+3X
Step-by-step explanation:
Given that , Joey has 5 collector stamps.
He gets 3 more stamps each week.
The number of week is X.
1st week he got 3 stamps
2nd week he got (3+3)=2.3 stamps
3rd week he got (3+3+3)=3.3 stamps
Stamp that he got=( the number of week ×3)
Therefore at end of Xth week he got =(X × 3) =3X stamps
Total number of stamps that collected after x week
=5+3X
Therefore the required equation is
Y=5+3X
