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

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Answer 1 · 2018-04-13T05:29:01

See below....

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]}

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