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ss7ja [257]
3 years ago
6

Write a quadratic function whose graph has a vertex of $\left(3,2\right)$ and passes through the point $\left(4,7\right)$ . $f\l

eft(x\right)=$
Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer: Write a quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10). (what does F(x)=?) Algebra -> Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).

Step-by-step explanation:

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I NEED HELP PLEASE, THANKS! :) Determine the zeros for and the end behavior of f(x) = x(x – 4)(x + 2)^4.
Amiraneli [1.4K]

Answer:  a) zeros: x = {0, 4, -2}

               b) as x → ∞,  y → ∞

                   as x → -∞,  y → ∞

<u>Step-by-step explanation:</u>

I think you mean (a) find the zeros and (b) describe the end behavior

(a) Find the zeros by setting each factor equal to zero and solving for x:

      x (x - 4) (x + 2)⁴ = 0

  • x = 0   Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = 4  Multiplicity of 1  --> odd multiplicity so it crosses the x-axis
  • x = -2 <u>Multiplicity of 4 </u> --> even multiplicity so it touches the x-axis

                       Degree  =  6

(b) End behavior is determined by the following two criteria:

  1. Sign of Leading Coefficient (Right side): Positive is ↑, Negative is ↓
  2. Degree (Left side): Even is same direction as right side, Odd is opposite direction of right side

Sign of the leading coefficient is Positive so right side goes UP

                                                                        as x → ∞,  y → ∞

Degree of 6 is Even so Left side is the same direction as right (UP)

                                                                        as x → -∞,  y → ∞

7 0
4 years ago
List all partitions of the set. (a) (1,2) (b) [a, b,c)
Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

3 0
3 years ago
What is the distance between points A(3, 8) and B(-3, 4)?
max2010maxim [7]

Answer:

About 7.2 OR (7.211102551)

Step-by-step explanation:

8 0
3 years ago
Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm​
slava [35]

Answer:

What shape is the object in question?

3 0
2 years ago
Anyone know the answer
Trava [24]

The answer is 3.

You have to do PEMDAS.


4 0
3 years ago
Read 2 more answers
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