[SPLIT] finding equation of new graph from 'parent' graph

[sweetliljenny]

If I have a parent graph of g(x) = |x|

and also the graph f(x) = 0.2|x - 6| + 4

how does the graph of f(x) compare to its parents graph g(x)?

 

[mts]

Sincere apologies, my previous reply was not the correct method, although it did work

Please see below:

 

[sweetliljenny]

i think i understand

now say you had .1 instead of .2
you would then say that .1 means that you must first stretch the graph by a factor of 1/(1/10), or 10, parallel to the x-axis?

 

[mts]

You know that the, -6, is a translation 6 units in the positive x direction. This is the first transformation.

The 0.2 is a stretch parallel to the y axis, factor 0.2. (Not in the x axis as previously stated). This is the next transformation.

Then the translation 4 units in the positive y direction.

So for any point on g(x). First add 6 to the x co-ordinate then multiply the y co-ordinate by 0.2, divide by 5, then add 4 to the y co-ordinate.