Mathematics: Using the completing-the-square method, find the vertex of the function f(x) = –3x2 + 6x − 2 and indicate whether it is a minimum or a maximum and at what point. a. maximum at (1, 1) b. minimum at (1, 1) c. maximum at (–1, 2) d. minimum at (–1, 2)

Using the completing-the-square method, find

lattimore12

13.01.2022

we have

$f(x) =-3x^{2}+ 6x-2$

Since the leading coefficient is negative, the function has a maximum

Let

y=f(x)

$y=-3x^{2}+ 6x-2$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y+2=-3x^{2}+ 6x$

Factor the leading coefficient

$y+2=-3(x^{2}-2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y+2-3=-3(x^{2}-2x+1)$

$y-1=-3(x^{2}-2x+1)$

Rewrite as perfect squares

$y-1=-3(x-1)^{2}$

$y=-3(x-1)^{2}+1$

the vertex is the point (1,1)

therefore

the answer is the option

A. Maximum at (1, 1)

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nails4life324

10.01.2023

Step-by-step explanation:

if someone answer on your question

so you will get the option down to your questions answer and you can make only one of them brainlist

after two answers you can make brainlist of your question

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