Question

Write in vertex form:
y=x^2 -4x-1

Answer 1

complete the square.

Answer 2

what?

Answer 3

i know what im supposed to do i dont know how to do it...

Answer 4

\[ \large y=x^2-4x-1 \]
\[ \large y+1\color{red}{+4}=x^2-4x\color{red}{+4} \]
\[ \large y+5=(x-2)^2 \]

Answer 5

oh thank you so so much!!

Answer 6

u r welcome

did u get it?

Answer 7

were did the 1 go? and how did you get the 4?

Answer 8

the 1 is negative first. when it changes to the left side it becomes positive

Answer 9

okay. i think i get it thank you

Answer 10

the 4 (in red) is the square of the half of the coefficiente of x (which is -4).

Answer 11

oh okay yeah i get it now thank you