Option: C is the correct answer.
C. y=|x+4|-2
We know that the vertex of a absolute value function or a modulus function f(x) of the type:
f(x)=a|x-h|+k
is denoted by V such that:
V=(h,k)
By looking at the graph of the function we see that the vertex of the function is:
(-4,-2)
A)
y=|x+4|+2
The vertex of this function is:
(-4,2)
Hence, option: A is incorrect.
B)
y=|x-4|+2
The vertex of this function is: (4,-2).
Hence, option: B is incorrect.
D)
y=|x-4|-2
The vertex of this modulus function is: (4,-2)
Hence, option: D is incorrect.
C)
y=|x+4|-2
The vertex of this function is: (-4,-2)
Also, we see that the graph of this function matches the given graph.
Hence, option: C is correct.
Answer:
c
Step-by-step explanation:
y=|x+4|-2
Answer:
6844DVDs
Step-by-step explanation:
At the start of the day, there are 78boxes in the warehouse and each box contains 116DVDs, the total number of DVDs in the warehouse will be total number of DVDs per box × number of DVDs in each box;
No of DVDs in the warehouse = 78×116
= 9048DVDs
If 19boxes of DVD were shipped, the total number of DVDs shipped will be 19×116(remember there are 116DVDs in a box)
= 2204DVDs
To calculate the amount of DVDs left in the House, we will use the expression;
Total number of DVDs in the warehouse - total number of DVDs shipped
= 9048-2204
= 6844DVDs
To find how much water was in the pool originally, you need to write the function for how fast the water is leaving the pool.
Your function is
y=-8x+b
y is amount of water in the pool
x is how many hours
b is the original amount
Since you know y and x, plug those into the function.
132=-8(6)+b
132=-48+b
b=180
The original amount of water in the pool was 180 gallons.
I didn't mean to reanswer the question, I'm sorry! I didn't see that there was already an answer when I began answering.