Mathematics: Identify the vertex of y = x^2 + 4x + 5 A. (4,5) B. (0,0) C. (-2,9) D. (-2,1) Help me plz, and I hope everyone is having a good day aswell

A,(-6,0)Step-by-step explanation:...

Identify the vertex of y = x^2 + 4x + 5 A. (4,5)

marjorieheckaman

22.01.2022

D. (-2,1)

Step-by-step explanation:

we have

y=x^2+4x+5

This is the equation of a vertical parabola open upward The vertex represent a maximum

Convert the quadratic equation in vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

Complete the square

y=(x^2+4x+2^2)+5-2^2

y=(x^2+4x+4)+5-4

y=(x^2+4x+4)+1

Rewrite as perfect squares

y=(x+2)^2+1

The vertex is the point (-2,1)

0,0(0 оценок)