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:
-4 (5v -3v -6) -9v (use the distributive property)
-20v +12v +24 -9v (combine all like terms)
-17v +24
Answer:
703.36
Step-by-step explanation:
the formula is v=b×h×pi
pi = 3.14
length: 28
base:8
So base (8) times length (28) times pi (3.14)
8×28×3.14 = 703.36
Answer:
Step-by-step explanation:
Let A and B events. We have defined the probabilities for some events:
Where A' represent the complement for the event A
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: 
So for this case we can solve for P(A) like this:
And now we can find 
using the total probability rul given by:
And if we replace the values given we got:
And that would be the final answer.
Answer:
2x + y = - 6
Step-by-step explanation:
Given
8x + 4y = - 24 ( divide each term by 4 )
2x + y = - 6 ← is an equivalent equation
