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 set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.