If you graph the three given points, you can see that the vertex (h,k) is (-1,3).
Equation of a quadratic function is: y = a(x - h)² + k
Plug in the vertex and one of the points (I chose (0,1)) and solve for "a".
1 = a(0 + 1)² + 3
-2 = a
Answer: f(x) = -2(x +1)² + 3
Answer:
The answer to the question provided is 7.
Step-by-step explanation:
[I apologize if this isn't the answer]
Using the distance formula:
AB^2 = (-2-6)^2 = (2-2)^2
= 64
AB = 8 units
BC^2 = (6-0)^2 + (2-8)^2
= 36 + 36
= 72
BC = 6 root 2
AC^2 = (-2-0)^2 + (2-8)^2
= 4 + 36
= 40
AC = 2 root 10
Perimeter = 8 + 6 root 2 + 2 root 10
= 2 (4 + 3 root 2 + root 10) units
Answer:
Length of rectangle = 15 feet
Width of rectangle = 6 feet
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 ft
Length of rectangle = 2[Width of rectangle] + 3
Find:
Value of length and width
Assume:
Width of rectangle = w
SO,
Length of rectangle = 2[w] + 3
Perimeter of rectangle = 2[l + b]
42 = 2[2w + 3 + w]
2[3w + 3] = 42
6w + 6 = 42
6w = 42 - 6
6w = 36
w = 36 / 6
w = 6
So,
Width of rectangle = 6 feet
Length of rectangle = 2[w] + 3
Length of rectangle = 2[6] + 3
Length of rectangle = 12 + 3
Length of rectangle = 15 feet