Mathematics, 17.07.2019 05:30, stricklandashley43
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. what are the coordinates of the vertex of the graph?
Answers: 1
Do this by completing the square. Start by setting the function equal to 0 and at the same time moving the constant over to the other side of the equals sign. 
. The rules for completing the square is the leading coefficient has to be a positive 1, but ours is -1, so we have to factor out the negative, and when we do that, we have this: 
. 10x is our linear term. We will take half of tha 10 to get 5, square the 5 to get 25 and add 25 to both sides. HOWEVER, that -1 is still hanging around out front, so what we actually have "added" in is -1(25) = -25. So now what we have is this: ![-1( x^{2} +10x+25)=-16-25. Simplifying we have [tex]-1( x^{2} +10x+25)=-41](/tpl/images/0098/9972/86f16.png)
. In this process we have created a perfect square binomial on the left: 
. Now we will move the -41 by adding to get 
. Our vertex, then, is (-5, 41). 
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:30, emberjohnson26
Which ordered pair (c, d) is a solution to the given system of linear equations- c+2d=13 -9c-4d=-15
Answers: 3
Mathematics, 22.06.2019 01:30, genyjoannerubiera
Andy has $310 in his account. each week, w, he withdraws $30 for his expenses. which expression could be used if he wanted to find out how much money he had left after 8 weeks?
Answers: 1
Do you know the correct answer?
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. what are the coor...
Questions in other subjects:
Physics, 31.05.2020 00:57
Mathematics, 31.05.2020 00:57
Mathematics, 31.05.2020 00:57
Mathematics, 31.05.2020 00:57
