Question

Draw the graph of the given quadratic equation $y=x^2-2x$

Answer 1

The given quadratic equation is $y=x^2-2x$. When we substitute different values of $x$ in the equation $y=x^2-2x$ then value of $y$ changes accordingly.

When $x=0$ then

$y=(0{)}^2-(2\times 0)=0-0=0$

The point is $(0,0)$

When $x=1$ then

$y=(1{)}^2-(2\times 1)=1-2=-1$

The point is $(1,-1)$

When $x=-1$ then

$y=(-1{)}^2-(2\times -1)=1+2=3$

The point is $(-1,3)$

Hence, the coordinates are $(0,0)$, $(1,-1)$ and $(-1,3)$and the graph of the quadratic equation $y=x^2-2x$ is as shown above.