Given equation is
.
Now we need to find about what are the key aspects of the graph of
, where b is a real number.
We know that square of any number is always positive.
then
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by
units as compared to the graph of parent function 
Answer:

Step-by-step explanation:
Total number of red disk=6
Total number of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,
Using the formula
The probability of getting odd number disk=
The probability of getting odd numbered red disk=
The probability of selecting a red disk,given that an odd numbered disk is selected=
Using conditional probability

Since the whole figure including all the points is enlarged at the same time, the dilated figure will still have the same slope and that includes the fact that point T is still in line Y'Z'. The slope or shape does not change, only the size alters.The center of dilation is still at Point T in this case.
ANSWER

EXPLANATION
The given function is:

Factor -3 for the first 2 terms.

We add and subtract the square of the coefficient of x.

Factor the perfect square trinomial.

The vertex form is:

Answer:
11 2/3 pounds.
Step-by-step explanation:
Let x pounds be the amount in pounds of Brazilian coffee.
x + 27 is the amount of coffee in lbs after the mixing.
So ,working in values of dollars, we have:
6x + 4*27 = 4.5(x + 27)
6x + 104 = 4.5x + 121.5
1.5x = 121.5 - 104 = 17.5
x = 17.5/1.5 = 11 2/3 pounds answer