Question

State the transformation that makes these different from the parent function, y = xy=2x-2

Answer 1

*It has a vertical translation 2 units down.

*Horizontal compression by a factor of 2.

`((x)/(2),y-2)`

Explanation:

To solve this situation we can use the transformation rules for function, remember these transformations:

*Vertical translation down d units is given by: f(x)-d

*Horizontal compression for b greater than 1 is given by: f(bx)

Therefore, for the following function:

`y=2x-2`

The transformations that make the function above different from the parent function y=x:

*It has a vertical translation 2 units down.

*Horizontal compression by a factor of 2.