Jackson wants to study the popularity of his music video by tracking the number of views the video gets on his website. The expression below represents the total number of views that Jackson's video receives n days after he begins tracking the number of views, where b is the rate at which the number of views changes.

Select the statement that would accurately describe the effect of tripling a, the initial number of views before Jackson begins tracking.

The total number of views the video has after n days, a(b)n, will triple.

The rate at which the number of views changes, b, will triple.

The total number of days since Jackson begins tracking views, n, will be reduced by one-third.

The total number of views the video has after n days, a(b)n, will not change.

The zeros are x = -1 and x = 8

The vertex is (3.5, -20.25)

Step-by-step explanation:

When we have a quadratic equation like:

y = a*x^2 + b*x + c

The zeros of the function are the values of x such that:

a*x^2 + b*x + c = 0

And the solutions are given by the Bhaskara's equation, which is:

And the vertex is at:

x = -b/2a

The y-value at the vertex is the function evaluated in that point.

In this case, we have the equation:

h(x) = x^2 - 7*x - 8

Then:

a = 1

b = -7

c= -8

Replacing these in the Bhaskara's equation we get:

Then the two solutions are:

x = (7 - 9)/2 = -2/2 = -1   (this is the smaller one)

and

x = (7 + 9)/2 = 16/2 = 8  (this is the larger one)

And we will have the vertex at:

x = -(-7)/2*1 = 7/2 = 3.5

Evaluating h(x) in 3.5 we get:

h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25

Then the vertex is the point:

(3.5, -20.25)