Question

y = x2 + 11x + 24 is equivalent to the graph of which equation? y = (x + 8)(x + 3) y = (x + 4)(x + 6) y = (x + 9)(x + 2) y = (x + 7)(x + 4)

Answer 1

First option:
`y=(x + 8)(x + 3)`

Explanation:

Given the quadratic equation
`y = x^2 + 11x + 24`, you need to factor it.

To do this, you need to find two number that when you add them you get 11 and when you multply them you get 24. These numbers are: 8 and 3.

Therefore, knowing this, you can factor the quadratic equation:

`y = x^2 + 11x + 24\\\\y=(x + 8)(x + 3)`

Then,
`y = x^2 + 11x + 24` is equivalent to the graph of the equation
`y=(x + 8)(x + 3)`, which matches with the first option.