Write an equation of the parabola in intercept form

Question

(3,4)

(4,0)

(2,0)

Answer 1

y = a(x - 2)(x - 4)

Now use the other point to find a. We expect a to be negative since the parabola is opening downward.

4 = a(3 - 2)(3 - 4)

4 = a(1)(-1)

a = -4

y = -4(x - 2)(x -4)