Question

Which function represents a reflection of ƒ(x) = 2x?

Answer 1

Let f(x) = 2x + 2

You'll see it is a straight line, slope 2 (which is positive, i.e. going uphill as we go left to right) and y-intercept 2.

Now let's consider −f(x).

This gives us

−f(x) = −2x − 2

Answer 2

Answer with explanation:

  f(x)=y=2 x

To plot the graph of this function, that is linear function , we need two distinct points.

To find two distinct points, put, x=0 in the above equation

we get, y=2×0=0

So, one point is ,(0,0).

To find another point, put, x=1

We get, y=2 ×1=2

So, another point is , (1,2).

So, to obtain the equation of this line, join , (0,0) and (1,2) and produce it from both ends.

To obtain the reflection of this line, Replace x by -x in the equation of line.

⇒  y =- 2 x, is the equation of reflection of , y=2 x.