Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon
Let Lynette has originally candies in hand = x
She gave half to her son means x/2 given to son.
2 candies gave to daughter and left with 4.
x - x/2 - 2 = 4
adding 2 both sides
x - x/2 - 2 + 2 = 4 + 2
x - x/2 = 6
x /2 = 6
x = 12
Means she have 12 candies originally : Answer
Hope it will help :)
Answer: 13095238095/100000000000
Step-by-step explanation: To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000
Step-by-step explanation:
003:
To solve this, we'll be using the Pythagorean theorem, 

004:
For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/
.
005:
From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be
/15.
Answer:
003: 
004: 8/
005:
/15
Answer:
2
Step-by-step explanation:
First you add 4 to both sides and get
2x=4
then you divide by 2 and get
4/2=x
4/2=2
x=2