Question

Write the function in vertex form, and identify its vertex.
f(x) = x2 + 6x - 3
last question!

Answer 1

last question on the test?

Answer 2

no my last question for the day

Answer 3

hmm, its hard to tell if that response is sarcastic or not lol

Answer 4

its not.

Answer 5

:) +9-9 to complete the sqaure then tidy it up

Answer 6

We have
\[f(x)=x^2+6x-3\]
Let's add and subtract 9 to create square
\[f(x)=x^2+6x+9-9-3\]
\[f(x)=(x+3)^2-12\]
Parabola's standard equation
\[f(x)=a(x+h)^2+k\]
the vertex is given as (-h,k)
here h=3 and k=-12
so vertex is (-3, -12)

Answer 7

or rather, lets add and subtract the square of half the x coeff

Answer 8

thank you, ash. I see it now.

Answer 9

Welcome amy

Answer 10

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

the middle term is just twice the compacted version of the square