Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where and
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for
So then
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
