Factor it to find the zeros at
Factoring is the fastest way to find the zeros of this function.
Factor out the GCF first:
Factor the second part:
Put it all together:
The solutions/zeros/roots are where the function crosses the
x-axis, which means y=0 at those points. Set
There are two ways the product of these three terms equals zero:
Solve the two equations to get
These are the places that the function crosses the x-axis.
Find the vertex:
The x-coordinate of the vertex of a parabola is always at
Find the y-coordinate:
The vertex is at
Plot the vertex, plot the zeros, and draw your parabola!