The equation of the graph is ![f(x) = -\sqrt{x -2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Csqrt%7Bx%20-2)
<h3>How to determine the graph equation?</h3>
The graph is added as an attachment
The form of the graph is
![f(x) = a\sqrt{x + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5Csqrt%7Bx%20%2B%20b)
The graph passes through the points (2, 0) and (6, -2).
So, we have:
and ![-2 = a\sqrt{6 + b](https://tex.z-dn.net/?f=-2%20%3D%20a%5Csqrt%7B6%20%2B%20b)
Solve for b in ![0 = a\sqrt{2 + b](https://tex.z-dn.net/?f=0%20%3D%20a%5Csqrt%7B2%20%2B%20b)
Divide both sides by a
![0 = \sqrt{2 + b](https://tex.z-dn.net/?f=0%20%3D%20%5Csqrt%7B2%20%2B%20b)
Square both sides
0 = 2 + b
Subtract 2 from both sides
b = -2
Substitute b = -2 in ![-2 = a\sqrt{6 + b](https://tex.z-dn.net/?f=-2%20%3D%20a%5Csqrt%7B6%20%2B%20b)
![-2 = a\sqrt{6 -2](https://tex.z-dn.net/?f=-2%20%3D%20a%5Csqrt%7B6%20-2)
![-2 = a\sqrt{4](https://tex.z-dn.net/?f=-2%20%3D%20a%5Csqrt%7B4)
Evaluate the square root
-2 = 2a
Divide by 2
a = -1
Substitute b = -2 and a = -1 in ![f(x) = a\sqrt{x + b](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%5Csqrt%7Bx%20%2B%20b)
![f(x) = -\sqrt{x -2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Csqrt%7Bx%20-2)
Hence, the equation of the graph is ![f(x) = -\sqrt{x -2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Csqrt%7Bx%20-2)
Read more about functions at:
brainly.com/question/13810353
#SPJ1
X=22. The sum of the top and bottom angle is 180 so you setup the equation as 4x-8=80.
Answer:
3/4 so math
Step-by-step explanation:
L = 2W
A = L * W
A = 162
162 = 2W(W)
162 = 2W^2
162/2 = W^2
81 = W^2
sqrt 81 = W
9 = W
L = 2W
L = 2(9)
L = 18
P = 2(L + W)
P = 2(18 + 9)
P = 2(27)
P = 54 <===== perimeter is 54 m
Answer:
(x, y) = ( 5, 6)
(x, y) = ( - 1, 0)
Step-by-step explanation:
Plug
in the equation
we find:
(x, y) = ( 5, 6)
(x, y) = ( - 1, 0)