Question

Graph the function f(x)=x2.

Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

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= (-b)/(2a)`

Plug in the values

`x= (-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