Question

How is the graph of Y = log(x) transformed to produce the graph of Y = log(2x)+3?

Answer 1

Answer:

The required transformation is $X = 2x \times10^{3}$ and Y = y

Step-by-step explanation:

Transformation means we need to shift the origin to a new position.

Sometimes we also needs to rotate the axis es through some angle.

We need to find the transformation so that, log(X) =  log(2x)+3.

$log(X) = log(2x)+3\\ log(\frac{X}{2x}) = 3\\\frac{X}{2x} = 10^{3} \\X = 2x \times10^{3}$

Hence the transformation will be $X = 2x \times10^{3}$ and Y = y.