Can someone help me solve this? I don't know what I am doing wrong. I need to complete the square to find the vertex. Please show me how you do it. f(x) = −x2 + 2x − 3
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Given :
f(x) = −x2 + 2x − 3
Now, we have to solve it by completing square.
We can write given equation as
x²-2x=3
x²-2x+1=3+1
(x-1)²=4 {by (a+b)^2 = a^2 -2ab + b^2}
now, taking square root of both sides, we get
x-1=±2
Taking positive sign
x= 1+2
x=3
Now, taking negative sign
x= 1-2
x=-1
Hence, the vertex are (3, -1)