Answer:
answers below!
Step-by-step explanation:
1. none of the forms
2. point slope form
3. slope intercept form
4. point slope form
5. standard form
6. slope intercept form
point slope: y - y1 = m(x - x1)
slope intercept: y = mx + b
standard: ax + by = c
The transformation set of 
values for function 
is ![[-1,1]](https://tex.z-dn.net/?f=%5B-1%2C1%5D)
this is an interval to which sine function maps.
You can observe that the interval to which 
function maps equals to ![[-2,0]](https://tex.z-dn.net/?f=%5B-2%2C0%5D)
.
So let us take a look at the possible options.
Option A states that shifting up by 
would result in having an interval ![[-1,1]+\frac{\pi}{2}\approx[0.57,2.57]](https://tex.z-dn.net/?f=%5B-1%2C1%5D%2B%5Cfrac%7B%5Cpi%7D%7B2%7D%5Capprox%5B0.57%2C2.57%5D)
which is clearly not true that means A is false.
Let's try option B. Shifting down by 
to get would mean that has a transformation interval of ![[-1,1]-1=[-2,0]](https://tex.z-dn.net/?f=%5B-1%2C1%5D-1%3D%5B-2%2C0%5D)
. This seems to fit our observation and it is correct.
So the answer would be B. If we shift down by one we get , which means that 
and 
.
Hope this helps :)
Answer:
A counterexample is sufficient, as long as it is well built and complete.
Step-by-step explanation:
A counterexample is a statement used to show that a previously spoken statement is false.
The counterexample must be direct, clear, simple, well constructed and concise to be effective. If the counterexample has all of these characteristics, only one counterexample is sufficient to show that a conditional statement is flawed.
As an example of this, we can use a square as a counterexample of a statement that states that every rectangle has 4 equal sides.
Answer:
8.2 cm
Step-by-step explanation:
