ANSWER
Focus:

Directrix:

EXPLANATION
The given parabola has equation:

We compare this to the general equation,

Comparing the coefficient of x, we have:
-4p=-1

The focus is (-p,0)

The equation of the directrix is
x=p

Answer:
g(x) has a greater average rate of change
Step-by-step explanation:
From the given information, the table is:
<u>x | g(x)</u>
-1 7
0 5
1 7
2 13
From this table, we have g(0)=5 and g(2)=13
The average rate of change over [a,b] of g(x) is given by: 
This implies that on the [0,2]. the average rate of change is:

Also, we have that: f(0)=-4 and f(2)=-1.
This means that the average rate of change of f(x) on [0,2] is

Hence g(x) has a greater average rate of change on [0,2]
Answer:
5.5
Step-by-step explanation:
Answer:
<em>C) 7</em>
Step-by-step explanation:
<u>Quadratic equation</u>
The quadratic equation can be written in several ways, one of the most-used is

To rewrite the equation in the form

we can complete squares and rearrange the terms as follows. The provided equation is

The second term can be seen as

And the first two terms can be visualized as the square of a binomial

We have added and subtracted 81 to complete the square and not modify the equation. The new form of the equation is

Rearranging

Comparing with the general form written above, we find that

The exact for is 53/12
Decimal form is 4.416
Mixed number 4 5/12
I hope I helped