Answer:12
Step-by-step explanation: so sart by subtracting 15 and 7
15-7
this gives you 8
now add 4
8+4
this gives you 12
The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
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Answer:
6.75
Step-by-step explanation:
3/4= 0.75, 6+ 0.75= 6.75
1/4= 0.25, 1/4x3=0.25x3 or 0.25+0.25+0.25= 0.75
The equation of 
by maclaurin series is 
.
The maclaurin series for f(x) is defined by the following formula:
--------------(1)
Where 
is the i - th derivative of the function
If f(x) = 
, then the formula of the i - th derivative of the function is:
----------------------(2)
Then,
Lastly, the equation of the trascendental function by Maclaurin series is: 
---------------(3)
Hence,
The equation of by maclaurin series is .
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