Question

Write the quadratic function in vertex form. Then identify the vertex. y=x^2-4x-1

Answer 1

see explanation

Explanation:

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = x² - 4x - 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(-2)x + 4 - 4 - 1

y = (x - 2)² - 5

with vertex = (2, - 5 )