Respuesta :

For this case we have the following function:

[tex]f (x) = (x + 2) ^ 2 - 3[/tex]

To write in standard form, we follow the following steps:

Step 1:

We solve the binomial squared:

[tex]f (x) = x ^ 2 + 4x + 4 - 3[/tex]

Step 2:

We combine similar terms:

[tex]f (x) = x ^ 2 + 4x + 1[/tex]

Answer:

the function, [tex]f (x) = (x + 2) ^ 2 - 3[/tex], in standard form is:

[tex]f (x) = x ^ 2 + 4x + 1[/tex]


The standard form of the expression is g(x) = x^2 + 4x + 1

Standard form of quadratic expression

GIven the function g(x) = (x + 2)^2 - 3,

To write this in standard form, first, you will expand thee parenthesis as shown below;

g(x) = (x + 2)^2 - 3

g(x) = x^2 + 4x + 4 - 3

Then you simplify the result

g(x) = x^2 + 4x + 1

Ths standard form of the expression is g(x) = x^2 + 4x + 1

Learn more on standard form here: https://brainly.com/question/15738885