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ollegr [7]
3 years ago
14

The graph of quadric function has a minumum at (-2,-3) and passes through the point (2,13)

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

g(x) = x² + 4x + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, - 3), thus

y = a(x + 2)² - 3

To find a substitute (2, 13) into the equation

13 = a(2 + 2)² - 3

13 = 16a - 3 ( add 3 to both sides )

16 = 16a ( divide both sides by 16 )

a = 1, hence

g(x) = (x + 2)² - 3 ← expand factor and simplify

      = x² + 4x + 4 - 3

g(x) = x² + 4x + 1

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A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hit the ground. a.Find
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4 0
3 years ago
A town has a population of 17000 and grows at 3% every year. What will be the population after 7 years, to the nearest whole num
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4 0
3 years ago
Read 2 more answers
I need the answer please
devlian [24]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:  x = 37

Explanation:

2x-5 + 3x = 180

5x - 5 = 180

5x = 185

x = 37

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

5 0
2 years ago
Read 2 more answers
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