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Montano1993 [528]
2 years ago
12

Help will give thanks to the first to answer

Mathematics
1 answer:
Fed [463]2 years ago
8 0

Answer: 16

Step-by-step explanation: substitute 5 for y. 5 squared is 5 times 5 which is 25 and 3 times 5 is fifteen. 25 minus 15 is 10 plus 6 is 16. :)

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Given y=(2x+3)2, choose the standard form of the given quadratic equation
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y=(2x+3)^2 = 4x^2 +12x +9

Taking 4 out from first two terms, we will get

y=4(x^2+3x)+9

Now we divide the coefficient of x by 2 and add and subtract the square of the result, we will get

y=4(x^2+3x+\frac{9}{4}-\frac{9}{4})+9

Distributing 4

y=4(x+\frac{3}{2})^2+9-9

Cancelling 9

y=4(x+\frac{3}{2})^2

And that's the required standard form.

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