halibroksKierran
Answered

the image shows a geometric representation of the function f(x) = x2 2x 3 written in standard form. what is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2xd

Answer :

Edufirst
I will add + operators, because the equation is incomplete.

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

To find the solution, complete a perfect square


f(x) = (x^2 + 2x + 3) -2 + 2
f(x) = (x^2 + 2x + 1) + 2
f(x) = (x + 1)^2 + 2

Answer: (x+1)^2 + 2
MrRoyal

The quadratic equation f(x) = x^2 + 2x + 3 in vertex form is f(x) = (x + 1)^2 + 2

How to rewrite in standard form?

The equation is given as:

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

Rewrite as:

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

Take the coefficient of x

k = 2

Divide by 2

k/2 = 1

Square both sides

(k/2)^2 = 1

Rewrite the equation as:

f(x) = (x^2 + 2x + 1 - 1) + 3

This becomes

f(x) = (x^2 + 2x + 1) - 1 + 3

Express as a perfect square

f(x) = (x + 1)^2 - 1 + 3

Evaluate the difference

f(x) = (x + 1)^2 + 2

Hence, the equation in vertex form is f(x) = (x + 1)^2 + 2

Read more about vertex form at:

https://brainly.com/question/18797214

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