Question

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

Answer 1

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

When $x=0$ then

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

The point is $(0,0)$

When $x=1$ then

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

The point is $(1,-1)$

When $x=-1$ then

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

The point is $(-1,-1)$

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