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yawa3891 [41]
3 years ago
11

What equation represents a parabola that opens UP with the vertex at 2,4

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

  y = (x -2)^2 +4

Step-by-step explanation:

The vertex form of the equation of a parabola is ...

  y = a(x -h)^2 +k

for vertex (h, k) and vertical scale factor "a". When a > 0, the parabola opens upward.

One equation for your parabola could be ...

  y = (x -2)^2 +4

__

In standard form this one is ...

  y = x^2 -4x +8

You might be interested in
The tables below show four sets of data:
vovangra [49]

Answer:

Hence, the set that represent a negative linear association between x and y is:

Set A.

Step-by-step explanation:

We are given 4 sets of data as:

<u>Set A  </u>

x 1 2 3 4 5 6 7 8 9  

y 10 9 8 7 6 5 4 3 2

<u>Set B  </u>

x 1 2 3 4 5 6 7 8 9  

y 3 4 5 6 7 8 9 10 11

<u>Set C  </u>

x 1 2 3 4 5 6 7 8 9  

y 8 6 5 4 3.5 3 2.5 2 2

<u>Set D  </u>

x 1 2 3 4 5 6 7 8 9  

y 1 2.5 2.5 3 4 5 6 8 9

We are asked to determine the set which represent negative linear association between x and y?

  • Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
  • In set C the relationship is non-linear though it is negative.
  • Clearly in Set A we could see that the the y is related to x as:

         y=11-x or y= -x+11.

Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.

Hence, the set that represent a negative linear association between x and y is:

Set A.

3 0
3 years ago
Read 2 more answers
the sum of the ages of josh and autumn is 88 years 9 years ago josh was 4 times autumn age how old is josh now
forsale [732]
Let
x---------> <span> josh"age
y--------> </span><span>autumn' age

we know that
x+y=88--------> y=88-x---------> equation 1
(x-9)=4*(y-9)--------> equation 2

substitute equation 1 in equation 2
(x-9)=4*(88-x-9)
x-9=4*(79-x)
x-9=316-4x
x+4x=316+9
5x=325
x=65

the answer is
</span>josh"age is 65 years
3 0
3 years ago
How to solve 3(x + 1) − (3x + 2)
bagirrra123 [75]

Answer:

Step-by-step explanation:

3(x + 1) − (3x + 2)

we will expand the first bracket:

3x+3-3x-2

3x and -3x cancels

3-2=1

3 0
3 years ago
Read 2 more answers
The elephants at the Fulton Zoo are fed 2 1/10 barrels of corn each day. The buffalo are fed 1 1/5 times as much corn as the ele
tatyana61 [14]
Hello!

To start, first consider your given information. The elephants are fed 2 1/10 barrels of corn every day. The buffalo are fed 1 1/5 times that amount.

Now, the question then asks to find the amount the buffalo are fed. The amount they are fed can be represented by this expression:
2 1/10*1 1/5

Because the fractions are mixed, turn then into improper fractions (multiply the whole number to the denominator and add that to the numerator; the denominator remains the same).

When you convert both fractions to an improper fraction you should get this:
21/10*6/5

Now, multiply straight across the numerator and denominator:
21*6/10*5

This would result in 126/50

However, you must first simplify this fraction by dividing the numerator and denominator by their greatest common factor. This would be 2.

When you divide both sides by 2, you should get 63/25. Now convert this back to an improper fraction and you get
2 13/25 as your answer.

Hope this helps!
8 0
3 years ago
Thank u it really helped
alexgriva [62]

Answer:

who are you thanking? Lol

Step-by-step explanation:

7 0
3 years ago
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