OG 12th edition - Q # 9

[bhumika.k.shah]

Whats the question tryna ask ?
whats the explanation

Can anyone tell me please ?

[thephoenix]

Whats the question tryna ask ?
whats the explanation

Can anyone tell me please ?

dnt have the book so if u can post the q , wud appreciate it

[rahul.s]

here you go. the OA is E

[ajith]

here you go. the OA is E

The graph is symmetrical about x=2

so, part of the curve to the left of the line x=2 will be a mirror image of what is there to the right.

Given if x=1 y=1 so, since it is symmetrical about x =2,

y=1 when x =3

Hence E

[rahul.s]

i didn't understand

[bhumika.k.shah]

I still dint get it

here you go. the OA is E

The graph is symmetrical about x=2

so, part of the curve to the left of the line x=2 will be a mirror image of what is there to the right.

Given if x=1 y=1 so, since it is symmetrical about x =2,

y=1 when x =3

Hence E

[ajith]

i didn't understand

x=2 is a vertical line passing through (2,0)
now the graph is symmetrical about that line

so, any original point to left of x=2 will have a reflection on the right hand side

the reflection of the point (1,1) (it is given that the graph passes through (1,1) about the line x=2 is (1+2, 1)

(the x co-ordinate of point (1,1) is at a distance of 1 on left hand side, the reflection should be at a distance of 1 from x=2 on the right hand side hence it will have co-ordinates of (3,1))

Hence since (1,1) is on the graph, (3,1) should also be on the graph

(1/2,2) is on the graph, so will (2+1.5,2)

[thephoenix]

I still dint get it

here you go. the OA is E

The graph is symmetrical about x=2

so, part of the curve to the left of the line x=2 will be a mirror image of what is there to the right.

Given if x=1 y=1 so, since it is symmetrical about x =2,

y=1 when x =3

Hence E

hint1 the graph is symmetrical at x=2
----> what ever value u are getting for y for a value of x on left side of the x=2 u will get the same value of y for a point which is equidistant as the point on left side at the right side of x

hint 2 the point x=3 lies in first q
so at at x=3 y will have same value as at x=1
which is 1
hence E

[amittilak]

Hint: If you are in a jam and don't know what symmetrical @ x=2 means, you can always use the dirty way to guess. I pictured an imaginary line from x=3 to the graph and then perpendicular to the y axis and the closest answer choice was 1. Ofcourse I would be very cautious when using this method but the graph can be assumed to be drawn at scale UNLESS IT SAYS SO.
Hope this helps!!

[dheaven1]

It helped me to quickly draw this out and plot these points on the graph for a visual representation

[sanju09]

Whats the question tryna ask ?
whats the explanation

Can anyone tell me please ?

As the graph is symmetric about x = 2, which also represents a parabola (could be new to some) with its vertex on (2, 0); the points equidistant on either side of 2 on x-axis would have the same ordinate. Since 3 is as far from 2 as is 1 on x-axis, both would have the same ordinate on curve.

[spoiler]E[/spoiler]