If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is 
where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p: 
. Simplifying a bit gives us 
. We can begin to isolate the y by dividing both sides by 16 to get 
. Then we can add 2 to both sides to get the final equation 
, choice 4 from above.
Answer:
Step-by-step explanation:
is there a table or something you can add because I cant tell anything with the information you gave.
Answer:
(a) = 1074
Step-by-step explanation:
because by using the rule of three aka 3,000 x 327 = 981,000 divided by 913 it is 1074.4797 but there cannot be half a human that choses a pizza
The steps are duplicated.Then, first I will write the steps in the right form:
19 = 5x - 1
20 = 5x
4 = x
Now, I will write the steps with the justification
19 = 5x - 1.... start
20 = 5x ..... Reason: addtion property of equality (you get this by adding +1 to both sides of the previous equality)
4 = x .... Reason: division property of equality (you get this by dividing by 5 both sides of the previous equality)
