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Debora [2.8K]
3 years ago
6

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

Mathematics
2 answers:
viva [34]3 years ago
4 0

Answer:

A. y = x^2 -6x + 13

Step-by-step explanation:

densk [106]3 years ago
3 0

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

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3 years ago
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40 divided by 6 using integer division
Nitella [24]

Answer: 40 divided by 6 is equal to 6 with a remainder of 4: 40 / 6 = 6 R.

Step-by-step explanation:Start by setting it up with the divisor 6 on the left side and the dividend 40 on the right side like this:

           

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The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

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       0    

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

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       4    

Move down the 2nd digit of the dividend (0) like this:

       0    

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The divisor (6) goes into the bottom number (40), 6 time(s). Therefore, put 6 on top:

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Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:

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vredina [299]

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