Answer:
y = -1/2 ( x − 4 )^2 + 8
Step-by-step explanation:
First find the vertex form
y = a ( x − h )^ 2 + k where ( h,k) is the vertex
The vertex is ( 4,8)
y = a ( x − 4 )^2 + 8
Now we need to determine a
Pick a point on the graph (0,0)
and substitute this point into the equation
0 = a ( 0 − 4 )^2 + 8
0 = a (16) +8
-8 = 16a
-8/16 =a
-1/2
y = -1/2 ( x − 4 )^2 + 8
12 ft shadow / 4 ft shadow = 3
16.5 ft / 3 = 5.5 ft
The zookeeper is 5.5 feet tall
Step-by-step explanation:
Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues
Here, we have

First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.
Since, we don't want x to be 0,
We have a removable discontinuity at x=0
Now, we have

We don't want the denomiator be zero because we can't divide by zero.
so


So our domain is
All Real Numbers except-2 and 0.
The vertical asymptors is x=-2.
To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of
The leading coeffixent of the numerator/ the leading coefficent of the denomiator.
So that becomes

So we have a horinzontal asymptofe of 2
Answer:
j=38
Step-by-step explanation:
j/-2 +7=-12, subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1 and multiply -19 by -2/1 to get j= 38
Answer:
Option b is correct
.
Step-by-step explanation:
Domain is the set of all possible values of x where function is defined.
Given the function:

To find the domain of the given function:
Exclude the values of x, for which function is not defined
Set denominator = 0

By zero product property;
and 
⇒x = 0 and 
⇒x = 0 and 
Therefore, the domain of the given function is:
