okay I bet you know a lot of math so in this example again the same important thing please do not be doing these problems especially as you guys are getting used to this please just plot the information I cannot stress how many times I see students that make mistakes that never plotted the information the focus is a point so we plot it as a point the directrix is a line so we plot it as a line x equals 5 1 two 3 4 five okay so now we have this thing we have a focus and we have a directrix now I know I don't have a horizontal directrix here but I want you guys to understand if you guys look over here we have the focus and we have the directrix what is in between the focus and the directrix vertex and you see how that's evenly evenly split between them yes you see how the vertex is right in the middle between the two so if here's my focus and then here's my vertex the distance between them is 1 2 3 right so I need to go over 1.5 to find my vertex so if we at two my vertex is now going to be at 3.5 and then what is going to be the y-coordinate of my vertex -3 the one thing I didn't talk to you guys about or I didn't exp I didn't make sure I went over remember that the focus and the vertex are always on the same axis of symmetry right they're always on the same axis of symmetry so therefore they're going to have the same coordinates so on the last example do you guys see how the do you guys see how the focus and the vertex are on the same axis symmetry over here the same thing happens the axis symmetry is going up now the other thing remember a parabola opens up towards its focus so am I opening up or down no and I'm not opening to the right so I'm opening to the left so my graph looks something like this just something like that the only thing I noce is hey okay now this graph is opening up horizontal so therefore X is not going to be squared because I'm familiar with the parabola where X is squared right so therefore y has to be squared so we look at our formula that we use for that and we have y equals I'm sorry y - k^ 2 = 4 P * x - H now we identified our vertex we had to find the coordinate point for the vertex so the coordinate point for my vertex this is my H and that's my K The Last Problem the vertex was at 0 0 correct so now we have a Vertex at H and K so Y is going to be y minus or y + 3 minus A3 equals 4 * P now p is important we know that the distance from my vertex to my focus was 1.5 but to go from my vertex to my focus I'm going to the left so is p going to be positive or negative negative and then that's going to be x minus H so it's Min - 3.5 so now we just simplify y + 3^ 2 = -6 x - 3.5 any questions okay the main important thing guys I'm telling you if you guys can get this stuff right then all you're doing is just throwing in the numbers in there in the formulas so but the main important thing is knowing what the parabola looks like and then