To draw the graph of the given function, we will follow four steps.
Let's go through these steps one at a time.
Recall the factored form of a quadratic function. In this form, where the intercepts are and Let's consider the factored form of our function. We can see that and Therefore, the intercepts occur at and
The axis of symmetry is halfway between and Since we know that and the axis of symmetry of our parabola is halfway between and We found that the axis of symmetry is the vertical line
Finally, we will draw the parabola through the vertex and the intercepts.