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Burka [1]
3 years ago
10

Which is the graph of f(x) = x2 – 2x + 3?

Mathematics
2 answers:
Vlad [161]3 years ago
5 0

The <em><u>correct answer</u></em> is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

icang [17]3 years ago
3 0
To find the graph of f(x) = x^2 - 2x + 3, you can either plug in values into where the x variable stands and solve for their corresponding y-values or you can also use your graphing calculator or even Desmos works! 

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For what values of X are the statements below true
Galina-37 [17]

Answer:

See solutions below

Step-by-step explanation:

For what values of X are the statements below true

A. 1x>x+1

x >x+1

x-x>1

0x > 1

x > 1/0

X >∞

B) |1-x|>3

The fucntion can both be positive and negative

For the negative function

-(1-x) > 3

-1+x > 3

x > 3+1

x > 4

For the positive function

1-x > 3

-x > 3 - 1

-x > 2

x < -2

Hence the required solutions are x > 4 and x < -2

c) For the equation

|x-15| < 0

-(x - 15) < 0

-x + 15 < 0

-x < -15

x > 15

Also x-15 < 0

x < 0+15

x < 15

Hence the required solution is x > 15 and x < 15

3 0
3 years ago
How many g of amino acids are in a 2,000mL total parenteral nutrition of 4.25% travesol (amino acids and 20%dextrose?
kirill115 [55]

Answer:

The  mass of  amino acid present is  85 g

Step-by-step explanation:

From the question we are told that

   The  volume of the total  parenteral nutrition is  V  =  2000 mL

   

Generally the volume of the amino acid present is  

                V_a =  0.0425 *  2000

                V_a =  85 mL

Generally  

               mass  \ \ \alpha  \ \ volume

So the mass of amino acid present is 85g

6 0
3 years ago
What’s the measure of angle XYZ?
Murrr4er [49]
In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

m∠XYZ = 68/2 = 34°
5 0
3 years ago
Read 2 more answers
Write the recursive formula then determine the next term of 3,10,24,52
Schach [20]

Answer:

  • f[1] = 3
  • f[n] = 2·f[n-1] +4
  • 108

Step-by-step explanation:

We observe that first differences of the given numbers are ...

  10 -3 = 7

  24 -10 = 14

  52 -24 = 28

That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.

We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.

Then our recursive relation is ...

  f[1] = 3 . . . . the first term

  f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4

The next term is 2·52 +4 = 108.

7 0
3 years ago
A town tracks the increases and decreases in its population. The population has decreases by 300 residents over the past 5 years
Ksivusya [100]

Answer:

I think the answer would be -60 (as in 60 people left each year)

Step-by-step explanation:

If the population decreased by 300 over 5 years, and the same number of residents left each year, then you would divide 300 by 5, and that gives you 60.

3 0
3 years ago
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