The standard form of the given quadratic equation by equating the equation equal to zero is,
[tex]0=4x^2+12x+9[/tex]
A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here, (a,b,c) are the real numbers and [tex]x[/tex] is the variable.
The equation given in the problem is,
[tex]y = (2x+3)^2,[/tex]
Use the formula of whole square to solve the above equation further as,
[tex]y = (2x)^2+3^2 +2\times(2x)(3)\\y=4x^2+9+12x[/tex]
Arrange the above equation in the standard quadratic equation form as,
[tex]y=4x^2+12x+9=0\\4x^2+12x+9=0\\[/tex]
Hence, the standard form of the given quadratic equation y = (2x +3)2 is,
[tex]0=4x^2+12x+9[/tex]
Learn more about the quadratic equation here;
https://brainly.com/question/17177510
