Question

Draw the graph of the given quadratic equation $y=3x^2$

Answer 1

The given quadratic equation is $y=3x^2$. When we substitute different values of $x$ in the equation $y=3x^2$ then value of $y$ changes accordingly.

When $x=0$ then

$y=3(0{)}^2=3\times 0=0$

The point is $(0,0)$

When $x=1$ then

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

The point is $(1,3)$

When $x=-1$ then

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

The point is $(-1,3)$

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