the graph of $y = x^{2}+11x + 24$ is equivalent to the graph of which equation?\n$y=(x + 8)(x + 3)$\n$y=(x +…

the graph of $y = x^{2}+11x + 24$ is equivalent to the graph of which equation?\n$y=(x + 8)(x + 3)$\n$y=(x + 4)(x + 6)$\n$y=(x + 9)(x + 2)$\n$y=(x + 7)(x + 4)$

the graph of $y = x^{2}+11x + 24$ is equivalent to the graph of which equation?\n$y=(x + 8)(x + 3)$\n$y=(x + 4)(x + 6)$\n$y=(x + 9)(x + 2)$\n$y=(x + 7)(x + 4)$

Answer

Explanation:

Step1: Expand the options

Use FOIL method (First - Outer - Inner - Last). For $y=(x + 8)(x + 3)$: $y=x^2+3x+8x + 24=x^2+11x + 24$. For $y=(x + 4)(x + 6)$: $y=x^2+6x+4x+24=x^2 + 10x+24$. For $y=(x + 9)(x + 2)$: $y=x^2+2x+9x+18=x^2+11x + 18$. For $y=(x + 7)(x + 4)$: $y=x^2+4x+7x+28=x^2+11x + 28$.

Answer:

A. $y=(x + 8)(x + 3)$