The answer is -3 because when you add a negative and a positive you have to subtract because of the negative.. and if it is a negative because the negative number is bigger than the positive..
Answer: part of the alphabet
Step-by-step explanation: nice
Answer:
$19.99 is the answer
Step-by-step explanation:
<u>ANSWER: </u>
The vertex of given equation
is (6, 32).
<u>SOLUTION:
</u>
Given, quadratic equation is
Above equation is a parabola and we need to find the vertex of that parabola. We know that, general form of the parabola is ![y=a(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E%7B2%7D%2Bk)
Where, (h, k) is the vertex.
So, let us convert the given equation in parabolic equation.
![\begin{array}{l}{y=-x^{2}+12 x-4} \\ {y=-\left(x^{2}-12 x+4\right)} \\ {y=-\left(x^{2}-(2)(x)(6)+6^{2}-6^{2}+4\right)} \\ {\left.y=-\left((x-6)^{2}-36+4\right)\right)} \\ {y=-(x-6)^{2}+32}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7By%3D-x%5E%7B2%7D%2B12%20x-4%7D%20%5C%5C%20%7By%3D-%5Cleft%28x%5E%7B2%7D-12%20x%2B4%5Cright%29%7D%20%5C%5C%20%7By%3D-%5Cleft%28x%5E%7B2%7D-%282%29%28x%29%286%29%2B6%5E%7B2%7D-6%5E%7B2%7D%2B4%5Cright%29%7D%20%5C%5C%20%7B%5Cleft.y%3D-%5Cleft%28%28x-6%29%5E%7B2%7D-36%2B4%5Cright%29%5Cright%29%7D%20%5C%5C%20%7By%3D-%28x-6%29%5E%7B2%7D%2B32%7D%5Cend%7Barray%7D)
Now, by comparing above equation with general form,
h = 6, k = 32 and a = -1.
Hence, the vertex of given equation is (6, 32).