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igomit [66]
3 years ago
6

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

Mathematics
2 answers:
KiRa [710]3 years ago
7 0

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:

y=(x-3)(x-9)

Now let us simplify it:

y=x^{2}-12x+27

Let us find the vertex now,

For a quadratic equation of the form:

y=ax^{2}+bx+c

For x coordinate , we have the formula,

x=\frac{-b}{2a}

So using this formula for our equation,

x=\frac{-(-12)}{2(1)}

So x = 6

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


jeka943 years ago
6 0
Plug in the numbers into demos. You can pretty much use this for any parabola equation.
https://www.desmos.com/calculator<span />
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