The quadratic equation is y = -0.163*(x + 2)*(x - 4.6)
How to write the equation?
If a parabola has a leading coefficient a, and has roots at x = h and x= k, then the equation can be written as:
y = a*(x - h)*(x - k)
Here the roots are:
x = -2
x = 4.6
Then we can write:
y = a*(x + 2)*(x - 4.6)
We can see that it passes through (0, 1.5)
then:
1.5 = a*(0 + 2)*(0 - 4.6)
1.5 = -9.2*a
(-1.5/9.2) = a
-0.163 = a
The quadratic is:
y = -0.163*(x + 2)*(x - 4.6)