Question

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

Answer 1

try to write it as\[f(x)=(x-h)^2+k\]

Answer 2

try to make a square first

Answer 3

x^2 + 16x^2 + 100?

Answer 4

no , we can write it as\[f(x)=x^2+2.x.2+2^2+6=(x+2)^2+6\]
ok?

Answer 5

not ok, lol I don't get it?

Answer 6

i've just simplified it by making a square

Answer 7

\[x^2+4x+10=(x^2+2.2.x+4)+6=(x+2)^2+6\\using,a^2+2ab+b^2=(a+b)^2\]

Answer 8

so we've now
\[f(x)=(x+2)^2+6\\comparing~with\\f(x)=(x-h)^2+k\\we'\ll ~have\\vertex=(h,k)=(-2,6)\]

Answer 9

square rooting?

Answer 10

no not square rooting , making a whole square
because then we can compare with the standard equation

Answer 11

so basically plugging in again?

Answer 12

no just making it comparable to the standard equation