Answer:
a=2/3
Step-by-step explanation:
1. y=a(x-x1)(x-x2) is a formula for a parabola, x1 and x2 being points where y=0 so in the equation y=a(x-3)(x+2), you know
x1=3, x2=-2
2. Find distance between 3 and -2, which is 5
3. bh/2=A --> 5h/2=10 --> h=4 (h is height)
4. when x=0, y=-6a, y=a(0-3)(0+2)
5. because parabola opens upward, the point of the vertex must be (_, -4)
6. -6a= -4
a=2/3
