How do you identify the important parts of y= 5x^2-x to graph it?

1 Answer
Apr 13, 2018

See below....

Explanation:

The x-intercepts can be found out by putting y=0 in the equation.

" "5x^2-x=0
rArr" "x(5x-1=0)

So x=0 and x=1/5=0.2

Also the minimum of the function is at the point where dy/dx=0

or," "10x-1=0
or," "x=0.1

The function is a parabola of the form x^2=4ay and y=+oo when x->+-oo.

graph{5x^2-x [-1.108, 1.292, -0.239, 0.96]}