We can find the graph by finding the roots of the equation.
Since the equation is already in factored form, we can use the Zero Product Property to find the roots. The roots of an equation are the value(s) of x when y is 0 (x-axis).
<h3>Find the Roots</h3>
y = (x - 2)(x - 3)
0 = (x - 2)(x - 3)
0 = (x - 2) x = 2
0 = (x - 3) x = 3
The roots of the equation are 2 and 3. That means the graph intersects the x-axis at points 2 and 3. Looking at the graphs shown, the answer is Option A.
