the graph of y = x² + 11x + 24 is equivalent to the graph of which equation?\no y=(x + 8)(x + 3)\no y=(x +…

Explanation:

Step1: Expand the first option

[ \begin{align*} y&=(x + 8)(x + 3)\ &=x\times x+x\times3+8\times x + 8\times3\ &=x^{2}+3x+8x + 24\ &=x^{2}+11x + 24 \end{align*} ]

Step2: Expand the second option

[ \begin{align*} y&=(x + 4)(x + 6)\ &=x^{2}+6x+4x+24\ &=x^{2}+10x + 24 \end{align*} ]

Step3: Expand the third option

[ \begin{align*} y&=(x + 9)(x + 2)\ &=x^{2}+2x+9x+18\ &=x^{2}+11x + 18 \end{align*} ]

Step4: Expand the fourth option

[ \begin{align*} y&=(x + 7)(x + 4)\ &=x^{2}+4x+7x+28\ &=x^{2}+11x + 28 \end{align*} ]

Answer:

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