The descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
<h3>How to describe transformations, graph, and state domain & range using any notation?</h3>
The function is given as:
f(x) = -2|x + 6|
The above function is an absolute value function, and an absolute value function is represented as:
f(x) = a|x - h| + k
Where
Vertex = (h, k)
Scale factor = a
So, we have:
a = -2
(h, k) = (-6, 0)
There is no restriction to the input values.
So, the domain is the set of all real numbers
The y value in (h, k) = (-6, 0) is 0
i.e.
y = 0
Because the factor is negative (-2), then the vertex is a minimum
So, the range is all set of real numbers greater than or equal to 0
Hence, the descriptions of the transformations are:
- Vertex: (-6, 0)
- Stretch factor: 2
- Domain: set of all real numbers
- Range: set of real numbers greater than or equal to 0
Read more about absolute value function at
brainly.com/question/3381225
#SPJ1
Answer:
2 20/24
Step-by-step explanation:
divide 4/2=2
then do 5/8÷3/4=5/8×4/3=20/24
u basically inverse 3/4
2 20/24
Answer:
I believe it might be C. -3
Given,
The coordinates of the point on the circle is (-4, -2).
The coordinates of the center of the circle is (-8, -10).
Reuired
The length of the center of the circle.
By using the distance formula, the radius of the circle can be calculated.
The distance formula is,
Substituting the value of the coordinates of the points,
![\begin{gathered} Distance=\sqrt{(-10-(-2))^2+(-8-(-4))^2} \\ =\sqrt{(-10+2)^2+(-8+4)^2} \\ =\sqrt{(-8)^2+(-4)^2} \\ =\sqrt{64+16} \\ =\sqrt{80} \\ =\sqrt{4\times4\times5} \\ =4\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Distance%3D%5Csqrt%7B%28-10-%28-2%29%29%5E2%2B%28-8-%28-4%29%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-10%2B2%29%5E2%2B%28-8%2B4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-8%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B64%2B16%7D%20%5C%5C%20%3D%5Csqrt%7B80%7D%20%5C%5C%20%3D%5Csqrt%7B4%5Ctimes4%5Ctimes5%7D%20%5C%5C%20%3D4%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Hence,
Keeping in mind that 120 days is not even a year, since there are 365 days in a year, exluding leap-years, then 120 days is really 120/365 year.
