Question

Graph the function f(x)=x2.

Answer 1

Graph $f(x) = x^2$

quadratic function is of the form $f(x) = ax^2 + bx +c$

In our f(x) there is no x term and constant so we put 0

$f(x) = 1x^2+0x+0$

The value of a=1 , b=0  and c=0

To find vertex , use formula $x= \frac{-b}{2a}$

Plug in the values

$x= \frac{-0}{2(1)}$ =0

Now plug in x=0 in f(x) equation

$f(x) = x^2$

$f(0) = 0^2$=0

So vertex is (0,0)

Now we pick some number for x below and above 0

Make a table

x            y=x^2

-2           4

0             0

2            4

Now plot all the points (-2,4) (0,0) and (2,4)

The graph is attached below