Answer:
C. F(x) = 2(x-2)²+2
Step-by-step explanation:
This graph was changed by a vertical and horizontal shift because the graph moved over and up
- A vertical shift would be when a constant is added to the output, resulting in the graph moving up or down: y = f(x) + k
- A horizontal shift would be when a constant is added to the input, resulting in the graph moving left or right: y = f(x + h)
With this information we can determine how the graph was transformed
- Looking at the graph, the origin is now at (2,2) instead of (0,0)
- We can see that the graph moved to the right h units, indicating a horizontal shift 2 units to the right
- We can also see that the graph moved up k units, indicating a vertical shift 2 units upward
Our equation for f(x) should be in the form y = a(x + h)² + k
- Substituting in all our known values, we get the equation:
- F(x) = 2(x-2)²+2
Answer:
Step-by-step explanation:
In the given triangle
With reference angle A
perpendicular (P) = 3
hypotenuse (h) = 5
So sin A = p/h = 3/5
and
With reference angle C
perpendicular (p)= 4
hypotenuse (h) = 5
Sin C = p/h = 4/5
hope it helps :)
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
<h3>What is a rectangular prism?</h3>
A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be

Then the length of the popcorn box in inches will be

More about the rectangular prism link is given below.
brainly.com/question/12649592
#SPJ1
Answer:
-4
Step-by-step explanation:
-4 is closer to the 0
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Let us make a list of all the details we have
We are given
The cost of each solid chocolate truffle = s
The cost of each cream centre chocolate truffle = c
The cos to each chocolate truffle with nuts = n
The first type of sweet box that contains 5 each of the three types of chocolate truffle costs $41.25
That is 5s+5c+5n = 41.25 (cost of each type of truffle multiplied by their respective costs and all added together)
The second type of sweet box that contains 10 solid chocolate trufles, 5 cream centre truffles and 10 chocolate truffles with nuts cost $68.75
That is 10s+5c+10n = $68.75
The third type of sweet box that contains 24 truffles evenly divided that is 12 each of solid chocolate truffle and chocolate truffle with nuts cost $66.00
That is 12s+12n=$66.00
Hence option C is the right set of equations that will help us solve the values of each chocolate truffle.