Question

For the quadratic function f(x)=x^2-6x-27, determine and accurately express each of the key features listed below.

1 WRiteTHE ORDERED PAIR WHICH CORRESPONDS TO THE PARABOLAS y intercept.


2. Write the ordered pair which corresponds to the parabodas vertex

Answer 1

1)
`(x,y) = (0,-27)`, 2)
`V(x,y) = (3, -36)`.

Explanation:

1) The ordered pair of the parabola is:

`f(0) = 0^(2) - 6\cdot (0) -27`

`f(0) = -27`

`(x,y) = (0,-27)`

2) The quadratic function needs to be rearranged into the standard form:

`y = x^(2)-6\cdot x -27`

`y = x^(2) - 6\cdot x + 9 -9 -27`

`y = (x-3)^(2)-36`

`y + 36 = (x-3)^(2)`

The vertex is
`V(x,y) = (3, -36)`.