36.7k views
1 vote
Need help asap with 1 math question, please help. Offering double the points!

Need help asap with 1 math question, please help. Offering double the points!-example-1

2 Answers

4 votes
It’s the second one
Hope this helps!!
User Stalinko
by
5.9k points
2 votes

So firstly, we have to figure out what the vertex is. The best method of doing this is by converting the standard form equation to vertex form.


First step is to separate x^2-4x and 12 with parentheses:
y=(x^2-4x)+12


Next, to make what's inside the parentheses a perfect square, we want to find what is half of the x coefficient and then square that. In this case, that is four. Add 4 inside of the parentheses, and add -4 outside of the parentheses:
y=(x^2-4x+4)+12-4


Next, you want to factor (x^2-4x+4), which is (x-2)^2, and combine 12 and -4 together, and your vertex form is
y=(x-2)^2+8



Now that we have the vertex form, we can find the vertex. To find this, if the vertex form was
y=a(x-h)^2+k , then the vertex is (h,k). In this context, h = 2 and k = 8, therefore your vertex is (2,8) and the table with that vertex is the fourth table.

User Neifen
by
5.2k points