Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and
units down
that means

so
In the function f(x) the point
is equal at the point
in the function g(x)
therefore
the function g(x) is equal to


<u>The answer is</u>
a) the rule of the translation is 
b) The graph in the attached figure
Answer:
40% number of calories have increased
Step-by-step explanation:
Old Value ( Calories consume before) = 2000
New Value (increase in Calories consumed) = 2800
We need to find by what percent did the number of calories increase
To find percent increase, the formula used is:

Putting values in formula and finding percent increase

So, 40% number of calories have increased
1. f = g(m1 - m2)/d2
2. f d2 = g(m1 - m2)
3. f d2/g + m1 - m2
4. f d2/g + m2 = m1
5. [Answer] m1 = f d2/g + m2
Because for input=-2 there are more than one outputs. It means the this is not a function and it’s impossible to find a rule.
The left 8 represents 8000 units.
The right 8 represents 8 units.
Their placement in the number is used to signify the multiplier for the number of units they represent. That is why the number system is called a "place value number system." Each time the digit is moved left one place, its value increases by a factor of 10.