Say for example I had the equation y = x^3

They go through the following transformations

. dilation by a factor of 2 from the y-axis

. reflection in the x-axis

. translation of 2 units in the negative y direction

The resulting transformed equation is y= -(x/2)^3 - 2

Does this mean that, for any point on the graph of the original function, y=x^3, we could determine the corresponding point under the transformations above by substituting the same values into this transformed equation.

E.g.

If I subbed in x = 1 into y=x^3 I'd get y=1

If I subbed in x = 1 into y= -(x/2)^3 - 2 I'd get y= -2.125

This essentially means that the y value moved from 1 to -2.125 due to the transformations that occurred

if i were to use x=1 as my reference.

Is this how I would interpret what a transformed equation does? Thanks

## Purpose of a transformed equation (in relation to matrices)

Answered## 1 Answer