Answer:
g(x) is a vertical compression of f(x)
Step-by-step explanation:
Equation of graph 1 :
Equation of graph 2 :
f(x)→a f(x)
Its is case of vertical stretch or compression
Vertical stretch if |a|>1
Vertical compression if 0<|a|<1
f(x)→a f(x)
So,
→
So, 
So,0<|a|<1
So,It is a case of vertical compression
So, g(x) is a vertical compression of f(x)
Answer:
x²+y²=13
Step-by-step explanation:
any circle with center at (0,0)
is of the form
x²+y²=r²
find out r²
r² = (2²+3²)=13
so the answer
Answer:
the above image is the solution to the question. I hope this helped. if it did mark me the brainliest
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Step-by-step explanation:
a.)7, 4, 1, -2, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,

The explicit rule for an arithmetic sequence is:

Putting the value of a1 and d

b.)-11, -3, 5, 13, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,

The explicit rule for an arithmetic sequence is:

Putting the value of a1 and d

Hence,
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Just saying BTW that this isn't a mathematics questions per say.
The main reason why cities are placed on coasts is so they are able to trade their goods with other nations abroad, as well as other coastal cities in their own region.