Question

19) In the xy-plane, what is the y-intercept of the graph of the equation
y=3(x-1)(x+2)?

Answer 1

- 6

Explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

= 3(x² + x - 2) ← distribute by 3

= 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )