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Sliva [168]
3 years ago
14

What is the vertex for y= 4 (x-2)^2 +3

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
(2,3)
you take the opposite of what’s in the parenthèse and then the number on the right outside the parenthèse
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The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
A beachball has a surface area of about 615.75 square meters. Find the
Genrish500 [490]

Answer: The radius of the ball is 7 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a sphere: 4 π r^2

Replacing with the value given:

615.75 = 4 π r^2

Solving for r (radius):

615.75 /4π= r^2

√(615.75 /4π) =r

r = 6.99 = 7m (rounded)  

The radius of the ball is 7 meters.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
A right triangle has a vertex at point M and a height of 3 units. The base of the triangle is on MN and is 4 units long. Use the
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Answer:

I used the answer the other person gave, but it said it was wrong. Here was the answer I put in the second time.

Step-by-step explanation:


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3 years ago
How could I write the fractions 4/6 7/12 and 5/10 from least to greatest
yulyashka [42]
4/6 5/10 7/12. Hope this helped! :)
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3 years ago
For any positive numbers a, b, and d, with b≠1, logb(a·d) = _____.
Katena32 [7]

Answer:

logb a* logb d

        or

logb a - logb d

             or

logb(a*d)

4 0
3 years ago
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