Please help asap brainliest if correct only answer if you're 100% sure you're correct Explain the steps necessary to convert a quadratic function in standard form to vertex form.

See Below.

Step-by-step explanation:

To convert a quadratic in standard form to vertex form, we will complete the square.

Let’s say we have a quadratic in standard form:

To start, we will factor the leading coefficient from the first two terms:

Next, we will divide the coefficient of the second term by 2, square it, and then add it to our equation.

Our coefficient of the second term is b/a. b/a divided by 2 is b/2a. And squaring yields b²/4a². So:

Of couse, we will also need to subtract it as well to keep our equation equal.

Since a is being distributed, we will subtract a(b²/4a²) or b²/4a. So:

Finally, we can use the perfect trinomial pattern to factor. So:

And this is vertex form.

Let’s see this with an example. Say we have:

And we want to convert this to vertex form.

As above, factor out the leading coefficient from the first two terms:

Divide the coefficent of the second term by 2 and then square it.

2/2 is 1. 1 squared is still 1.

So, we will add 1 within our parentheses:

Since we added 1 inside, we must subtract 2(1) outside. So:

Now, we can factor. Therefore:

And this is in vertex form.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.