Answer:
1
Step-by-step explanation:
The dot is filled in, meaning the inequality symbol must have an line under it.
Since there's numbers on both sides, you have to simplify so that c is equal to, or greater than 2.
First one;
c-5≥-3
+5 +5
c≥2
It just so happens that this is the correct one, but in the future you may have to go through all.
Hope this helps! If I'm wrong, sorry <3 I haven't done this stuff in awhile.
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Answer:
It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).
Step-by-step explanation:
f(x)=(x^2-16)/(x^2-2x-8)
= (x+4)(x-4)/(x-4)(x+2)
=(x+4)/(x+2)
=((x+2)+2)/(x+2)
=1+2/(x+2)
So the center is at (-2, 1)
Answer: picture wont seem to load, maybe try again
Step-by-step explanation: