Answer:
Step-by-step explanation:
the graph shifts 2 units right and 7 units down
Answer:

Step-by-step explanation:
Given:

Number line is from range -2 to 2 with all increment of ±
on both sides.
Step 1: First we will solve the equation we will get;

Step 2: Now we will try to make the denominator common so we will get;

Step 3: Now from the number line when we subtract 
from
we get number of spaces left are - 7
Hence now it will become:

Hence the final Answer is 
The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation 

Now, completing the square by adding and subtracting 1, we get,

The first three terms can be written as
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,

This equation is of the form 
Now, we shall find the vertex 
Thus,
and 
Thus, the vertex is 
Answer:
$19.11
Step-by-step explanation:
-Given that his regular rate is $12.74/h and that the overtime rate is 1.5 times the regular rate.
#We multiply the regular rate by 1.5 to determine his overtime rate;

Hence, Randy's overtime rate is $19.11