What is the vertex of the quadratic function f(x) = (x-6)(x + 2)?

(2,-16)

Step-by-step explanation:

One way to find the vertex is as follows:

First, we see that the x-intercepts are 6 and -2.

(to see this, we use the fact that the x-intercepts are found by letting y i.e. f(x) = 0. Then we solve each of the factors equal to 0. so i.e.

x-6 = 0

x = 6.

Similarly, x+2 = 0, so x= -2).

Now that we know the x-intercepts, we can use the symmetry property of a quadratic to see the x-coordinate of the vertex occurs mid-way between -2 and 6. So i.e at (6+-2)/2 = 2.

Lastly, we put x = 2 into the equation to find the y-coordinate:

f(2) = (2-6)(2+2) = -4 x 4 = -16.

So the vertex is (2,-16)

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.