Answer:
(- , 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
5x - 2(0) + 1 = 0
5x - 0 + 1 = 0
5x + 1 = 0 ( subtract 1 from both sides )
5x = - 1 ( divide both sides by 5 )
x = -
the line crosses the x- axis at (- , 0 ) or ( - 0.2, 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:
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.