Question

use ( x^2 - 8x + 16 ) 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, b values

For $f(x)=x^2-8x+16$, $a=1$, $b=-8$

Step2: Calculate x-coordinate

Use $x=-\frac{b}{2a}$
$x=-\frac{-8}{2\times1}=4$

Step3: Calculate y-coordinate

Substitute $x=4$ into $f(x)$
$f(4)=4^2-8\times4+16=16-32+16=0$

Answer:

$(4, 0)$