The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. what is the vertex of g(x)? (−6, −5) (−2, −5) (2, −5) (6, −5)

Hello!

For quadratics, vertex form is: f(x) = a(x - h)² + k, and in this equation, h, k is the vertex. Also, h is the x-value and k is the y-value, so the ordered pair is (h, k).

Since the given equation is in vertex form, 2 is the h value, and -5 is the k value.

Therefore, the vertex of g(x) is (2, -5).

853.3

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204