Search
Ask a question
0

f(x)=-2x^2+12x-22

completing the square. Wrie function in vertex form

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Garnet H. | Calculus, Physics, Stat, Linear Algebra, GRE, GMAT, SAT... TutoringCalculus, Physics, Stat, Linear Algebra,...
4.9 4.9 (896 lesson ratings) (896)
1

(1) y = -2(x²-6x ) - 22         (rewrite)

(2) y = -2(x²-6x+9) - 22      (take half the coeff of -6 (-3), square it, and add it to the expression

(3) y = -2(x²-6x+9) -22 + 18   (u essentially subtracted 18 in (2) so you have to undo it by adding 18)

(4) y = -2(x-3)² -4     (vertex form)