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48 Identfy tne focus of this equation Y = 3x2.0 a (, 12 0 b. (, 3) 0 c (0, 0 d. (0,49. Identify the focus of this equation % = ~2y20 a. (0,0) 0b. (-0 c (0,Od (=50....

Question

48 Identfy tne focus of this equation Y = 3x2.0 a (, 12 0 b. (, 3) 0 c (0, 0 d. (0,49. Identify the focus of this equation % = ~2y20 a. (0,0) 0b. (-0 c (0,Od (=50. Identify the directrix of the graph of 6x = *2 8y + 9_a.* = 2

48 Identfy tne focus of this equation Y = 3x2. 0 a (, 12 0 b. (, 3) 0 c (0, 0 d. (0, 49. Identify the focus of this equation % = ~2y2 0 a. (0,0) 0b. (- 0 c (0, Od (= 50. Identify the directrix of the graph of 6x = *2 8y + 9_ a.* = 2



Answers

Equation of the directrix of the parabola $4 y^{2}+12 x-12 y+39=0$ is (a) $\mathrm{x}=\frac{-7}{4}$ (b) $y=\frac{3}{4}$ (c) $x-y=0$ (d) $2 x-3 y=0$

We have 32 in this we have And the question of the Parabola expressed one holds quite equal to four and 2. Y-us one. And we need to find his focus vertex focus on direct tricks. So if you compare with x minus h hole square equal to four P. Why am I escaped? We'll be getting vortex says at Karma k minus one comma minus one. This is the vertex and again for P equal to be for people to sorry for equal to fun which is positive. So Parabola will be downward owning a port opening in this case. So let us draw the Parabola roughly. Yeah why what taxes -1 compromise one so minus one comma minus one is the vertex. So this must be the access and P is positive so Will be having focus on one unit up of this vertex. So one unit of this verdict will be here. So Focus will be wanting it up X equal to -1. Why go to 0 -1 will be the focus and that things will be one unit down of this vertex. So why call to -2 will be the direct tricks. This is the direct tricks, this is the focus. So the Parabola will be like this. A number is the correct choice. Thank you

Hello. We have our number 33. And this need to find equation of the parabola. X plus one holds quite equal to minus four. Why press one? So if we Uh compare this with experience when I was quite equal to four p. Why minus K. So at NK will be equal to minus when and minus one. This is the vertex this is the vertex now for pay Equal to -4 So we will be equal to -1. Okay so let's try and draw roughly the parabola. This is X. This is why minus one comma minus swim. Okay and since P is negative so it will be vertical downward downward opening parabola downward parabola which means and the focus will be p units downward so minus one comma -2. So focus should be -1 Camera -2. And Diet you will be one unit up. So why Porto zero will be there and directly and then the photo graph. So he should be there. You're quite gruff. Thank you.

In this problem, we have to find an equation for corner. They're satisfied that given tradition, that is parabola focus at 00 on direct tricks. Why is equals to six? Now? A parabola is a set of points in the plane that are equal distance from a fixed point f all focus and a fixed line called direct tricks. Now the distance from the point be X y for the focus. F 00 is mark E f is equals toe under rude X minus zero whole square plus y minus zero Old square, which gives us on the road X square plus why square another distance from the point B x y to the direct tricks. Why is equals to six is more Y minus six. Now use this visual toe. Find the equation of the parabola. Therefore, under rude X Square plus y squared. Is it closed? Toe model Y minus six. We get X squared plus y squared. Is it closed? Toe Y minus six would square on simplifying. Bigger X squared equals toe minus 12. I've plus 36. Therefore we get X squared equals toe minus 12 by minus three. Therefore, the equation of the corn it becomes X squared equals toe minus 12. Multiply by minus three Now will draw the graph. So in this graph, this is why it says this is X Texas. This point here is focus 00 This is direct tricks. Why is equals to six on This is X squared is equals toe minus 12. Meditative I minus 60. That's a solution.

We have to number two in this Parabola is given access choir equal to four Y. And then to find uh focus and directories of the parabola. So if you compare with access quite equal to four, Py will be getting for p equal to four, So we will be equal to one parable. I will pay. This is actually this is why the Parabola will be vertically upward like this, They should be the Parabola and here focus will be zero comma P. So this is the focus. Focus will be zero comma ph one. This is the focus and directors philby like here this is there Direct tricks so which will be at same distance? So we can say why call to -1 so why plus one equal to zero? It should be the directories and Parabola will be opening upward. So it is the graph. Thank you.


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