Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:

Now let us simplify it:

Let us find the vertex now,
For a quadratic equation of the form:

For x coordinate , we have the formula,

So using this formula for our equation,

So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Answer:
8
Step-by-step explanation:
it helps a lot in math us it won't let me do it
Answer:
what set of numbers??
you haven't provided any set of numbers
Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)