PRE-CAL IS LIFE     jk!

Hi Classmates, I'm Jr. Malig

and today i will explain how Reflections and Stretches works.

there are 2 Stretches the Vertical and Horizontal

Vertical Stretches

we call "a" as Vertical Stretch

(x , y) translate to (1 x , y) or (b x , y)
                               a

Horizontal Stretches

we call "b" as Horizontal Stretch

(x , y) translate to (1 x , y) or (b x , y)
                               b

Reflections                                                
This is the graph of a function y = f (x) and how the graph of -f (x) reflected to the original set of axes.


                                               
















Inverse of a Function

Inverse function is when the y in the equation of a function y = f (x) reflected in the mirror line y = x.

Putting It All Together

 this formula can be applied to any function

*y = a f ( b ( x + c ) ) + d*        the " + " inside the formula will change into " - "      y = a f ( b ( x - c ) ) + d


The "a" is located outside the function and it affects the y- values of the graph and also the "d ". therefore the effect on the graph is just the same.

while the "b" and the "c" are located inside of the function and it will affects the x - values of the graph, but the effect on the graph will be opposite.

The main thing you have to remember here is:

Outside the function -----> affects the y - values ----> The effect is the same.

Inside the function ------> affects the x - values ----> The effect is the opposite


THANK YOU!