Mathematics: -2b-6+3b-2 simplified

-2b-6+3b-2 simplified - id26326136984, lisapcarroll

datskash

21.11.2020

The vertex is the point (6,-31)

Step-by-step explanation:

we have

$f(x)=x^{2}-12x+5$

This is the equation of a vertical parabola open upward

The vertex is a minimum

Convert the quadratic equation in vertex form

$f(x)=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

Complete the squares

$f(x)=(x^{2}-12x+36)+5-36$

$f(x)=(x^{2}-12x+36)-31$

Rewrite as perfect squares

$f(x)=(x-6)^{2}-31$

therefore

The vertex is the point (6,-31)

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