- #1

AN630078

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- Homework Statement
- Hello, I was practising describing graphical transformations with several example questions but there was one which I was especially unsure of. I would appreciate any advice upon my proposed solutions.

Describe the transformation which maps y=ln(x) to;

a. y=ln(2x)

b.y=ln(4-x)

- Relevant Equations
- y=f(ax) is a horizontal stretch by a scale factor 1/a

y=f(-x) is a reflection in the y-axis

y=f(x+a) is a translation by the vector (-a,0)

a. I believe that y=ln(2x) is a horizontal stretch of y=ln(x) of scale factor 1/2. In the transformation y=ln(2x), each x-value is multiplied by 2 before the corresponding y-value is calculated.

b. I think that y=ln(4-x) is a reflection in the y-axis followed by a translation by the vector (-4,0) i.e. 4 units to the right.

b. I think that y=ln(4-x) is a reflection in the y-axis followed by a translation by the vector (-4,0) i.e. 4 units to the right.