Question

The graph of 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

Answer:

y = (x+8)(x+3)

Step-by-step explanation:

Answer 2

The equivalent expression to the given quadratic equation is:

y = (x + 8)*(x + 3).

Which equation is equivalent to the given one?

Here we start with:

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

To solve the problem, we need to find the roots of the quadratic equation, to do it, we will use the Bhaskara's formula:

$x = \frac{-11 \pm \sqrt{11^2 - 4*24} }{2} \\\\x = \frac{-11 \pm 5 }{2}$

Then the two solutions are:

• x = (-11 + 5)/2 = -3
• x = (-11 - 5)/2 = -8

Meaning that we can write the cuadratic equation as:

y = (x + 3)*(x + 8).

So the correct option is the first one.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2