GRAPHS ON THE GO: Adding or subtracting a constant in x

After reading the title a question must have arose to your mind that , "does adding or subtraction a constant to a function different than that for x ?". The answer is YES.

Let's begin.

As always lets start with an example say y = x^2 and change this to y = (x+2)^2.

Now what does this addition of 2 in x make change to the function.

Let's Examine.

x = 0, y = 0 (original)

x = 0, y = (0+2)^2 = 2^2 = 4 (modified)

Lets take another example-

x = 4, y = 16 (original)

x=4 , y = (4+2)^2 = 6^2 =36 (modified)

it means modified function should shift 2 unit left on x axis.

lets see the graphs and make it clear.

the original function shifts left to number of units added to x along x-axis.

Now let's take an example if 2 is subtracted to from the original function.

Taking the same example y = x^2 and y = (x-2)^2

Let's Examine.

x = 0, y = 0 (original)

x = 0, y = (0-2)^2 = (-2)^2 = 4 (modified)

Lets take another example-

x = 4, y = 16 (original)

x=4 , y = (4-2)^2 = 2^2 = 4 (modified)

the original function shifts right to number of units added to x along x-axis.

Now some other examples depicting the same-

Stay Tuned for the next post.

For any query comment down there.

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