Question

Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.

Answer 1

The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c

The standard form of the function $\mathbf{f(x) = (x - 2)^2 - 3}$ is $\mathbf{f(x) = x^2 - 4x + 1}$

The function is given as:

$\mathbf{f(x) = (x - 2)^2 - 3}$

Factor out (x - 2)^2

$\mathbf{f(x) = (x - 2)(x - 2) - 3}$

Expand the expression

$\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}$

Simplify the like terms i.e. add -2x and -2x

$\mathbf{f(x) = x^2 - 4x + 4 - 3}$

Simplify the like terms i.e. add 4 and -3

$\mathbf{f(x) = x^2 - 4x + 1}$

Hence, the standard form of the function $\mathbf{f(x) = (x - 2)^2 - 3}$ is $\mathbf{f(x) = x^2 - 4x + 1}$

Read more about standard form at:

https://brainly.com/question/3236330

Answer 2

Answer:

the one above is all right except its a positive 4x, the question was

f(x) = (x + 2)2 - 3

not

f(x) = (x - 2)2 - 3

the real answer is: f(x) = x^2+4x+1