Which equation is y = 6x2 + 12x – 10 rewritten in vertex form?

The equation y = 6x2 + 12x – 10 can be written in vertex form as; y = 6(x + 1)² - 16.

To re-write the equation y = 6x² + 12x – 10 in vertex form, the completing the square method is used as follows;

First, we isolate x- terms and factorise;

By rewriting as perfect squares: we have

Consequently, the equation in vertex form is;

The vertex is therefore given by coordinates; (-1,-16).

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Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

Convert to vertex form

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

Factor the leading coefficient

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

Rewrite as perfect squares

-------> equation in vertex form

The vertex is the point

you cant answer this dummy

step-by-step explanation:

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720