GRAPHS ON THE GO: f(x) to -f(x)

What happens when f(x) is transformed to -f(x)?

Firstly let's understand, what happens when we change f(x) to -f(x),

We represent functions in terms of graph as y = f(x).

So when  y = f(x) changes to  y = -f(x),

The value of x at which is was giving +results will start to become negative result

and for the negative results becomes positive.

For x = a.

y = f(a) will become y = -f(a)

Let's take an example-

y = cosx         (original)   

is to be transformed to 

y = -cosx        (modified)

If the values are of y changes in sign then it is obvious that graph of positive y part reflects into x and occupies the negative y region. and vice-versa.

Lets understand it by  seeing their graphs.

y = cosx

y = -cosx

You can see the difference-

#Shortcut to this transformation-

Rotate x axis 180deg.

or 

Just reflect both region of y in x.

A quick glimpse-

(Image credits- https://www.desmos.com/)

Stay Tuned for the next post.

For any query comment down there.

#graphs_on_the_go  #understanding_graphs #mathematics, #feed-o-math , #quadratic_equations