Answer:
The given function is : y = (3) x
The meaning of term reflection is that the distance of the curve called image and preimage from y axis should be same.
As this is linear equation in two variable passing through (0,0) having slope tan M=3 made in positive direction of x axis.
When we reflect : y = 3 x over y axis the line have slope or will make an angle of tan Z = -3 in positive direction of x axis .
Consider any point on , y= 3 x as (1,3) and (-1,-3) it's reflection along y axis is (-1,3) and (1,-3). Find equation of line passing through these two points.
→y -3 = -3 (x+1)
→ y- 3 = - 3 x -3
→ y = - 3 x
And the equation of this line is given by : y = - 3 x Option (B).
If the curve is y = [tex]3^x[/tex] then if it is reflected along y axis the image will be y = [tex]3^{-x}[/tex]→Proceed by same method as described above as in part 1.
