Question

Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.

Answer 1

The vertex form needed is :

$-6(x-0.25)^2 +2.375$

Given the equation:

$-6x^2 + 3x + 2$

The vertex form of $f(x) = ax^2 + b(x) + c$ is given by:

$f(x) = a(x-h)^2 + k$

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

$-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375$

This is the resultant vertex form.

Thus the vertex form needed is :

$-6(x-0.25)^2 +2.375$

Learn more here:

brainly.com/question/15165354