The function g is given in three equivalent forms.
which form most quickly reveals the vertex?
a)g(x)= 1/2(x-8)^2-8
b)g(x)= 1/2(x-12)(x-4)
c)g(x)= 1/2x^2-8x+24
vertex =

A) g(x)= 1/2(x-8)^2-8.   The vertex is (8, -8).

Step-by-step explanation:

A. g(x)= 1/2(x-8)^2-8 is the vertex form of the function.

In general it can be written as

f(x) = a(x - h)^2 + k       where (h, k) is the vertex.

Here the vertex is (8, -8)

Yep, answer above is right!

Step-by-step explanation:

In all honesty, I didn't know how to solve this. But then I saw his answer, and had to confirm that is - indeed - correct! I also answered so you can mark the person above brainliest, not me.

I hope this answer won't be deleted haha

I hope this helps!

- sincerelynini

john earns $14.00 for two hours of work.

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