Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get


The required equation of the quadratic function is
where, a is a constant.
Putting a=1, we get

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is
.
Range is the difference between the largest and the smallest variable. If the range is 18 and the smallest number is 9. Add 9 to 18.
9+18= 27. 27 is the largest number.
Isn't it 89 not 19 and if its that, its 12 and 77
Assuming this Fence enclosment will be in the shape of a rectangle we will use the equation used to find the area of a rectangle, b×h=a
Using this formula we then must pick out factors used to create, in which the perimeter will add up to 20
·5,5,5,5 (25)
·8,2,8,2 (16)
·6,4,6,4 (24)
using this we can learn<span> that the maximum area that can be exclosed by this is 25, because the 2 perimiter lengths that define this rectangle would be 5 and 5.
</span>b(5)×h(5)=25(a)
therefore, your answer is 25 Units
-I hope this is the answer you are looking for feel free to post your questions here on brainly in the future