How do you write a quadratic function in general form that satisfies the given conditions?

Question

a. a=5; x-intercepts of graph are 24 and 22

b. x-intercepts of graph are 0 and 13; graph contains point (2,22)

c. x-intercepts of graph is 4 and 8; y-intercept is 12

Answer 1

a) 5(x-24)(x-22)

b) y = kx(x-13)

22 = k(2)(-11)

k = -1

y = -x(x-13)

c) y = k(x-4)(x-8)

12 = k(32) when x=0

12/32 = k

3/8 = k

y = (3/8)(x-4)(x-8)