Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

In this problem, we have:

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

they are simplified

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