Question

Question 13 I don’t know how to do it

Answer 1

y = -
`(1)/(4)` (x - 1)²(x + 2)(x + 6)

Explanation:

The roots from the graph are

x = - 6 , then factor is (x + 6)

x = - 2 , then factor is (x + 2)

x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then

y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier

To find a substitute any point on the graph into the equation

Using (0, - 3 ), then

- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )

-
`(1)/(4)` = a

Then

y = -
`(1)/(4)` (x - 1)²(x + 2)(x + 6)