Question

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−x

Answer 1

The correct answer is third, g(x)=3*(-x). Use brackets correctly, because it makes problem with understanding answers.

Answer 2

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 =
`3^x` then if it is reflected along y axis the image will be y =
`3^(-x)`→Proceed by same method as described above as in part 1.