What is the vertex of the quadratic function f(x) = (x - 8) (x - 2)?

Solution:

The given function is f(x) = (x - 8) (x - 2)

By removing parentheses

f(x) = x² - 2x - 8x + 16

f(x) = x² - 10x + 16

The vertex of the function is (h, k)

h = -b / 2a

Substituting the values

h = - (-10) / 2 (1)

h = 10 / 2

h = 5 which is the x coordinate

Substituting the x value in the quadratic function

f(5) = (5 - 8) (5 - 2)

f(5) = (-3) (3)

f(5) = k = -9

Therefore, the vertex is (5, -9).

What is the vertex of the quadratic function f(x) = (x - 8)(x - 2)?

Summary:

The vertex of the quadratic function f(x) = (x - 8) (x - 2) is (5, -9).