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Andrej [43]
3 years ago
7

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

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

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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