Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

From this form,

you can determine the coordinates of the vertex to be (1, 3)
Answer:
I think u just add and multiple
Step-by-step explanation:
X=-4 you have to substitue first so you put the equation where the X is and then you would distribute and then add the numbers that have the common exponent
Asking the Math Gods...
B. 204in^2
<span><span>Surface Area (SA) =√3 * a²+ 3 * a * h</span>2 </span><span />
The Mean would increase to 82.17 or a total increase of .17
You have 99 students and the avg is 82, therefore we can multiply 99*82 to get our total points
99*82=8118
We add a single score of 99 to our total points 8118+99= 8217
Then we add the student to the total number of students bringing it to 100 and divide our new total by the our new number of students.
8217/100 = 82.17