Describe the translation of f(x) = |x|.

4 1\2 left, 1\2 unit down

1\2 unit left, 4 1\2 up

1\2unit left, 4 1\2units down

4 1\2 units left, 1\2 unit up

the correct answer would be choice C

it went left 1/2 units and went down 4 1/2 units

It's the third option.

Step-by-step explanation:

f(x) = |x| is shaped like a V with the vertex at the point (0, 0).

The translation is 1/2 unit to the left, 4 1/2 units down.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

there are 13, because 1 quintillion is 1 followed by 12 0s

1,000,000,000,000