Aparabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?

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

The x-coordinate of the parabola's vertex is 6.

The -coordinate of the parabola's vertex is 6

The intercepts at and

The factors are in the form  

where and are intercepts given to us.

So rewriting in factored form:

Now simplify it:

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find the vertex now,

A quadratic equation form is:

----------

So compare equation and ,we get

For coordinate , we have the formula,

So

The x-coordinate of the parabola's vertex is .

Learn more about Parabola here;

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1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft