Answer:
B
Step-by-step explanation:
The differences in the terms of f(x) are + 3, + 5, + 7
Since the differences are not constant the relationship is not linear
Note the differences in the differences are + 2, + 2,
The second differences are constant indicating a quadratic relationship
Note the relationship between x and f(x)
x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)
x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)
x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)
x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)
Thus f(x) = x² + 5 → B
Let's simplify step-by-step.
There are no like terms.
Answer:
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.
Answer:
It is a 40% increase
Step-by-step explanation:
So first of all the formula is
New-old/old
Or rate of change/ original
SO th new is 350
THe old is 210
350-210=140
140/350 which is old is 2/5
2/5 is 40 percent
So 40 percent increase
