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 .
To solve the problem above, we will be using the equation in solving the surface area of a cylinder which goes. A = 2pi r^2 + 2pi r h, A is for the surface area, pi is 3.1416; h is the height and r is the radius. Basing on this formula the radius will be 0.3982 ft both top and bottom.
Answer: -1, 1, 3, 5
Step-by-step explanation:
F(n)= 2n-3
F(1)=2(1)-3= -1
F(2)=2(2)-3= 1
F(3)=2(3)-3= 3
F(4)=2(4)-3=5
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares:
Semi Circle Area Formula:
÷
2
Square Area Formula: length x width
Pi = 3.14
Radius = Half of the diameter, in this case 6
After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border.
Answer:
y = 5/8x - 3
Step-by-step explanation:
(8,2) and (-8,-8)
m=(y2-y1)/(x2-x1)
m = ( -8 -2)/ (-8 - 8)
m = (-10)/(-16)
m = 5/8
y - y1 = m(x - x1)
y - 2 = 5/8(x - 8)
y - 2 = 5/8x - 5
y = 5/8x - 3
