Question

use $x^2 - 6x$ to answer the following questions.
$x = -\frac{b}{2a}$
use your value of $x$ in the equation to find the $y$-coordinate of the vertex.
$f(x) = a(x - h)^2 + k$

1. what are the coordinates of the vertex?

enter your answer as an ordered pair.
type a response

Explanation:

Step1: Identify a and b values

For $f(x)=x^2-6x$, $a=1$, $b=-6$

Step2: Calculate x-coordinate

$x=-\frac{b}{2a}=-\frac{-6}{2\times1}=3$

Step3: Calculate y-coordinate

Substitute $x=3$ into $f(x)$:
$f(3)=3^2-6\times3=9-18=-9$

Answer:

$(3, -9)$