Question

Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,) ​

Answer 1

Answer:

          vertex = (h, k) = (5, -9)

Step-by-step explanation:

$f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9$