<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function ![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
.
So, this function is defined as:
![f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D%20%5C%20the%20%5C%20greatest%20%5C%20integer%20%5C%20less%20%5C%20than%20%5C%20or%20%5C%20equal%20%5C%20to%20%5C%20x)
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at 
and 
in the interval 
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function ![F(x)=[x]-2](https://tex.z-dn.net/?f=F%28x%29%3D%5Bx%5D-2)
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
Answer:
Step-by-step explanation:
This is written in the standard form of a quadratic function:
where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:
where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
Using your original equation, identify the a, b, and c terms:
Insert the known values into the equation:
Simplify. Two negatives make a positive:
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
Simplify using PEMDAS:
The value of y is -6 (3,-6). Insert these values into the vertex form:
Insert the value of a and simplify:
:Done
Answer:
y= -1x + 2
Step-by-step explanation:
-4/4 is the same as saying -1. slope always has to be in the simplest form.
Answer:
that would be 38 degrees
Step-by-step explanation:
x = 16 x sin(60) = 8sqrt(3)
answer is B.
