Answer:
Step-by-step explanation:
Since f(x) is a polynomial, it is a power series by itself with
On the other hand, the representation of a function as a power series around a given point is unique. This means that these are the only possible coefficients of f as a power series around 0.
Answer:
The answer to your question is $79.38
Step-by-step explanation:
Data
base = 8.1 m
height = 3.5 m
cost = $2.80/ m²
Formula
Area of a parallelogram = base x height
Substitution
Area of a parallelogram = 8.1 x 3.5
= 28.35 m²
Total cost of the carpet
1 m² ------------------- $2.80
28.35 m² --------------- x
x = (28.35 x 2.80) / 1
x = 79.38 m²
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the leading coefficient (coefficient of x²)
- If y = ax² + bx + c, then
- k = f(h) that means the value of y when x = h
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵
∴
∴
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic function in brainly.com/question/9390381
#LearnwithBrainly
To find the translation you need to count how far each point is moving. It goes downwards three times while moving left 5 times, this means that the rise is negative 3 and the run is -5. (-3/-5)
I dont remember much of this but if I'm correct the formula for this coordinate notation is (x, y) -> (x - 5, y - 3) Please check this