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OpenStudy (just_one_last_goodbye):
With?
OpenStudy (freemap):
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x) = 3.5x?
OpenStudy (freemap):
A. g(x) = 3.5x + 1.5
B. g(x) = 3.5x + 1
C. g(x) = 3.5x – 1
D. g(x) = 3.5x – 2
OpenStudy (anonymous):
Which way did it move from the parent function?
OpenStudy (michele_laino):
Hint:
as we can see the asymptote has this equation: \(y=-2\), so, please use the result of the previous exercise
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OpenStudy (freemap):
|dw:1445883748169:dw|
OpenStudy (michele_laino):
what is the right option?
OpenStudy (freemap):
d?
OpenStudy (michele_laino):
hint:
I choose function in A.
I can write this:
\[g\left( 0 \right) = {3.5^0} + 1.5 = 1 + 1.5 = 2.5\]
so the point \(0,2.5\) blongs to the graph of the function in A. Is it true for your graph?
OpenStudy (freemap):
no
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OpenStudy (michele_laino):
correct! since your graph passes at point \((0,-1)\)
OpenStudy (michele_laino):
Now, I choose the graph of option D.
So, I can write:
\[g\left( 0 \right) = {3.5^0} - 2 = 1 - 2 = - 1\]
so the point \((0,-1)\) belongs to the graph of function in C.
SO, what can you conclude?
OpenStudy (michele_laino):
oops..So*
OpenStudy (michele_laino):
sorry ...belongs to the graph of the function in D* not in C