What is the equation of the quadratic function represented by this table? x 5 6 7 8 9 10
f(x) -4 5 8 5 -4 -19
Type the correct answer in each box. Use numerals instead of words.

f(x) =
(x −
)2 +

1. perpendicular

2. parallel

3. perpendicular

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb