 Now, next question. In fact, that means I am replacing my x with negative x. Reflect. Reflect is a correct word but about what? Reflect the right bicycle. Now, he says he is saying it will reflect but he is not sure whether it will reflect about it. Actually, so this is reflected has become this part and this part has become this part. Yes or no? Now, quick rule here. If you replace your x with minus x in any function even though I took a straight line just to explain you. In any function if you replace your x with minus x the graph of the function will get reflected about which axis? About the y axis. Then the graph will be reflected about i equal to x square because you would not appreciate it because the moment you replace x with minus x nothing happens to the graph. Now, originally the mirror image series changed the graph nothing. That is why I did not show you on a parabola. I showed you on a straight line but let me tell you this rule is universally applicable. Is that fine? Now, instead of changing the sign of x over here if I would have changed the sign of y here what will happen? What will happen? It will be reflected around. Reflects the graph about y axis so changing the sign of y should reflect it about x axis. This is common sense but logically also you can derive this by saying that if you are changing the sign of x that means what you are doing for the same y now my x is negative of itself. So, let us say initially I got y is equal to 5 from x equal to 2. Now, in this case my y equal to 5 would come from x equal to minus 2. So, whatever was equal to 5 it came from 2 then the same 5 equal to 5 will now come from minus 2. Let us say 4 here came from 1 then 4 here will come. So, it is obvious that every point is getting reflected about y axis and hence the graph itself gets affected about y axis. Changing the sign of y what happens? Let us say initially your y value was let us say 6. So, y is equal to 6 means y equal to 6 means x should be how much? x should be how much? x should be 3. Yes or no? Now, for this thing negative 6 understood the point in this graph when x was 3 y was 6. In this value if you put x as 3 y will now become negative 6 y will become negative 6 I am not saying negative 5. So, what is happening for the same point 3 comma 6 now I am going that means y is becoming negative. When is y becoming negative is when you take its mirror image about x axis. So, rule number 2 in the same thing is when you change your sign of minus 5 you actually reflect the graph about. It is very simple rule change of sign of x reflection about y axis change of sign of y reflection about x axis. Is the rule clear? Just one quick problem I will give you and then you have a break. 3 minus y x plus 2 the whole square mark its vertex and where it cuts the x axis the y axis. So, step by step ok with that can you start which is this can be equal to x square. I will start with the skeleton graph may be finger ok y is equal to x correct. Now, what do you want to do next I have to achieve this transformation what do you want to do next. Do you want to replace your x with x plus 2 or do you want to change your y with minus 5. Everybody is saying they want to do x. So, this is your graph x square. Now, you want to change your x with x plus 2. What will happen to this graph? The position of the vertex now minus 2 comma 0. So, the graph has moved to the left. Next what do you want to do? Next what do you want to do? Because there is a approach worry or you want to change your y with negative y. Now, this is the kind of the transformation. But let me tell you in some cases the order of transformation will matter. I will show you in which cases Krishna will tell you Krishna do you want to change y with what? I want to reach this this is my target. What should I do with the y? Krishna says I want to do y plus 3. Let us see whether what whatever he is planning to do will leave the result. Krishna says let us do y plus 3. What will happen to the same graph? This will come down by 3. Agreed? Agreed. So, can I say it will now become like this? Again it may seem to pass towards it, but it is not. So, this point will be 2 comma minus 3. Correct? Next what do you want to do Krishna? You wanted a minus y to come over here means you are replacing your y with minus y. Again let me choose some other color. It will become minus y plus 3 is equal to x plus 2 square. Minus y means what? Reflecting the graph about x axis. Remember the rule changing the sign of x reflecting the graph about y axis. Changing the sign of y reflecting the graph about x axis. So, if I reflect this graph about the x axis, correctly whether this is what you see? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? Yes or no? No. Okay. Now, to give me a like this. Let's verify this on YouTube. So the ground was v minus y is equal to x. v minus y is equal to? Guys, no talking please. x plus 2, the host. Ignore this one. You see this? Match with whatever we did. Yes sir. Now, can it work? I'll just show you another minus y is equal to x plus 2, the host. See what I've got with this graph. This is fine. It will look like this. Then I will change the x with x plus 2. What will happen? 2 equals to the left. Then I will change here y with minus y itself. So unlike Krishna's approach where he first changes y with y plus 3, I will not take that approach. I'll first take y as minus y. So what am I doing? I'm reflecting the graph. So let me choose a different term. How would I achieve 3 minus y from minus y? Can I say I will get to this? Yes or no? Yeah. So if you are changing the graph, and if it goes 3 units up, it will look like this. And this is my final result. Quite the same graph. But this time the approach was delta different, slightly different. So it doesn't matter in this case whether you do y plus 3 and then change y to minus y. Or you do y with minus y first and then change y with y minus 3. Ultimately you have to reach this expression somehow. Understood? So we'll take a break for 5-10 minutes. Anybody who hasn't got this handout, anybody if I have missed out?