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djverab [1.8K]
3 years ago
15

The quadratic equation is

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

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)

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