Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 
This problem can be directly solved by using a conversion
factor. Simple research will tell us that 1 gallon contains about 3.78 Liter.
Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
<span>volume = 283.5 Liters</span>
The premium will cover 14,400 dollars over the course of 5 years.
Answer:
y = 3/8x
or
3/8 cups of sugar for every 1/2 batch of muffins
Step-by-step explanation:
Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:
cups of sugar.
Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is
times the length of each leg.
Proof:

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, 
Since a=b in an isosceles triangle:

Therefore, the next step is to Determine the principal square root of both sides of the equation.