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
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The answer would be A 20c/d
The computation shows that the average monthly amount is 61.64.
<h3>How to calculate the value?</h3>
The amount that's left will be:
= 3314.85 + (2 × 926.65) - (1800 × 2) - 1075
= 3314.85 + 1853.3 - 3600 - 1075
= 493.15
The average monthly amount will be:
= 493.15/8
= $61.64
Learn more about computations on:
brainly.com/question/4658834
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Answer:
f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM
Step-by-step explanation:
Here x is the number of hours after 9AM
f(2) means the count of bacteria after 2 hours of 9AM i.e. at 11AM
f(1) means the count of bacteria after 1 hour of 9AM i.e. at 10 AM
f(2) - f(1) will give us the difference between the count of bacteria between 11 AM and 10 AM
Hence,
f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM
