Quadratic equations part two

We can make a plot of a quadratic equation by plotting $y = ax^2 + bx + c$

For example let’s work out the value of y for values of $x$ from -3 to 3 in a quadratic equation.

Let’s set the values of $a$ , $b$ and $c$ to $a = 1$ , $b = 0$ and $c = 0$ so that $y = x^2$

When we plot all of these points and draw lines between them, we get this graph

We can get a more accurate graph by plotting more points. If we add in plus and minus 0.5 and 0.25 we would have the following points to plot.

The plot looks more curved now. Less jaggedly.

Using software, we can plot all of the points for a smooth curve

Notice that when $x = 0$ , $y = 0$ .

$x = 0$ is the solution to $x^2 = 0$