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Sidana [21]
2 years ago
9

What is the domain and range of quadratic function with vertex.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0

Answer:

As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if

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Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.
mylen [45]

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

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3 years ago
The data set of water consumption for a small town in gallons per day is listed below. What is the effect on the mean and standa
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Step-by-step explanation:JHVJVVH

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2 years ago
A printer prints 75 pages in 5 minutes at the same rate, how many pages does the printer print in 7 minutes
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Why this is so easy

Ok so, 75/5=15

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What is x solve the equation <br>a(x + b)-C=d​
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Answer:

x = d/ a + c / a - b

Step-by-step explanation:

a( x + b ) - c = d

add c on both sides

a( x + b) = d + c

ax + ab = d + c

subtract ab from both sides

ax = d + c - ab divide both sides by a

ax / a = d/ a + c/ a - ab / a

x = d/ a + c / a - b

6 0
3 years ago
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