Question

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

Answer 1

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

Answer 2

Option a is correct.

Explanation:

We have been given the expression:

`y=x^2+11x+24`

We will factorize the given quadratic equation:

`x^2+8x+3x+24`

`\Rightarrow x(x+8)+3(x+8)`

`\Rightarrow (x+8)(x+3)`

Hence, the given equation is equivalent to (x+8)(x+3)

Hence, the graph will be equivalent to y=(x+8)(x+3)

Therefore, option a is correct.