What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

(5, - 9)

Step-by-step explanation:

Given

f(x) = (x - 8)(x - 2) ← in factored form

Find the zeros by equating f(x) to zero, that is

(x - 8)(x - 2) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x - 2 = 0 ⇒ x = 2

The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence

= = 5

Substitute x = 5 into f(x) for corresponding y- coordinate

f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9

vertex = (5, - 9)

(5,-9)

Step-by-step explanation:

Make the multiplication indicated:

Add the like terms:

Now find the x-coordinate of the vertex with this formula:

In this case:

Then:

Rewrite the expression with

Now substitute into the function to find the y-coordinate of the vertex:

Therefore, the vertex is:

(5,-9)

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°