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:
Option a is correct.
Step-by-step 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.