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