The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). write the quadratic function in general form.

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

(-1,0)

For x=-1, y=0

substitute

----> ----> equation A

(-2,0)

For x=-2, y=0

substitute

----> equation B

we have the system

----> equation A

----> equation B

substitute equation A in equation B

solve for b

Find the value of a

therefore

The quadratic function in general form is equal to

see the attached figure N 2 to better understand the problem

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

a

step-by-step explanation: