Question

The quadratic equation is

Answer 1

Answer:

(2,-9)

Step-by-step explanation:

Set the quadratic equal to zero.

$y = {x}^{2} - 4x - 5$

Factor

$(x - 5)(x + 1)$

Set each of these factors to zero

$x - 5 = 0$

and

$x + 1 = 0$

$x = 5$

and

$x = - 1$

Plot the midpoint of the two values.

$( \frac{5 + ( - 1)}{2} ) = 2$

So the middle term is 2 and the other terms are 5 and -1.

Now the vertex is

$2 {}^{2} - 4(2) - 5 = - 9$

So the vertex is

(2,-9)