Answer:
Step-by-step explanation:
First, look at the graph to determine whether it opens down or up, which in this case is <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (where the graph insects the x-axis)]. You will see that the graph intersects ![\displaystyle [-2, 0]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B-2%2C%200%5D)
and ![\displaystyle [4, 0],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B4%2C%200%5D%2C)
so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, ![\displaystyle y = A[x - h]^2 + k,](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20A%5Bx%20-%20h%5D%5E2%20%2B%20k%2C)
that negative in front of 
gives you the OPPOCITE outcome, so be careful.
I am joyous to assist you at any time.
Answer:
You didn't give any statements so I'll tell you that it's a vertical line.
Step-by-step explanation:
I might be wrong but I think the answer would be -x+2x+6 as a simplified version because if you use the equation (x+4•x+3)-3x(x+1)=a (or any letter you choose), you will get 3x+x^2+12+4x-3x-3x^2=y. Then, you can combine like terms:
4x-2x+12=a
Answer:
3460
Step-by-step explanation:
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
