The graph of a function fx is given Use transformations to

The graph of a function f(x) is given . Use transformations to graph y = -f (2x+6) + 3 . List the transformations needed(use proper names!) and graph each intermediate graph on the grid provided. Be accurate! 1) original function y = f(x)

The graph of a function f() is given below. Use transformations to transformations neededuse graphy -f(2x+6+3. List the accurate! proper names!) and graph each intermediate graph on the grid provided. E 2) Transformation: i equation:

Solution

The given function is y=f(x) and the transformed function is y=-f(2x+6)+3

Because of 2 that is with x inside the function, the graph compresses.

And an addition of 6 units causes the graph to shift to 6 units in the left side.

Their is a -sign outside the function because of which the graph reflects across x axis and finally because of +3 with the function the graph shifts upwards by 3 units.

Therefore the transformation are

Compresses by 2 times, shifts in the left direction by 6 units,reflection across x axis and shift upwards by 3 units